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Questions and Answers
What is the range of the function when the coefficient of $x^2$ is negative?
What is the range of the function when the coefficient of $x^2$ is negative?
At which point does the turning point of the graph occur when $a > 0$?
At which point does the turning point of the graph occur when $a > 0$?
How can you find the y-intercept of the function $y = ax^2 + q$?
How can you find the y-intercept of the function $y = ax^2 + q$?
What does a positive value of $a$ indicate about the graph of the function?
What does a positive value of $a$ indicate about the graph of the function?
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What is the axis of symmetry for the function of the form $f(x) = ax^2 + q$?
What is the axis of symmetry for the function of the form $f(x) = ax^2 + q$?
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Which statement is true about the x-intercepts of the function $y = ax^2 + q$?
Which statement is true about the x-intercepts of the function $y = ax^2 + q$?
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What happens to the graph of the function when the value of q is greater than 0?
What happens to the graph of the function when the value of q is greater than 0?
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If the coefficient a is negative, what shape will the graph of the function take?
If the coefficient a is negative, what shape will the graph of the function take?
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How does a value of a that is between 0 and 1 affect the graph of the function?
How does a value of a that is between 0 and 1 affect the graph of the function?
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Which point indicates the turning point of the function when a is greater than 0?
Which point indicates the turning point of the function when a is greater than 0?
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What effect does a value of q less than 0 have on the graph?
What effect does a value of q less than 0 have on the graph?
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If a is equal to -1, what is true about the graph's shape?
If a is equal to -1, what is true about the graph's shape?
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What is the domain of any parabolic function in standard form?
What is the domain of any parabolic function in standard form?
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Which of the following is a characteristic of a parabola when a is greater than 0?
Which of the following is a characteristic of a parabola when a is greater than 0?
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How does a positive value of q affect the graph of the function y = ax^2 + q?
How does a positive value of q affect the graph of the function y = ax^2 + q?
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What occurs when the value of a is greater than 0 in the function y = ax^2 + q?
What occurs when the value of a is greater than 0 in the function y = ax^2 + q?
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If a is less than 0, what shape does the graph of the function y = ax^2 + q take?
If a is less than 0, what shape does the graph of the function y = ax^2 + q take?
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For values of a between -1 and 0, how does this affect the width of the parabola?
For values of a between -1 and 0, how does this affect the width of the parabola?
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What is the behavior of the graph when q is equal to 0?
What is the behavior of the graph when q is equal to 0?
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In the function y = ax^2 + q, what is the domain of the parabola?
In the function y = ax^2 + q, what is the domain of the parabola?
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How does the value of q affect the turning point of the graph when q is negative?
How does the value of q affect the turning point of the graph when q is negative?
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What happens to the parabola when the value of a is between 0 and 1?
What happens to the parabola when the value of a is between 0 and 1?
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What determines the direction of the parabola in the function $y = ax^2 + q$?
What determines the direction of the parabola in the function $y = ax^2 + q$?
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Given a function $f(x) = ax^2 + q$, if $a < 0$, what can be said about the range of the function?
Given a function $f(x) = ax^2 + q$, if $a < 0$, what can be said about the range of the function?
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If the function $f(x) = ax^2 + q$ has a minimum turning point, which of the following must be true?
If the function $f(x) = ax^2 + q$ has a minimum turning point, which of the following must be true?
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What is the significance of the y-intercept in the graph of $y = ax^2 + q$?
What is the significance of the y-intercept in the graph of $y = ax^2 + q$?
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Which of the following statements is true about the axis of symmetry for the function $f(x) = ax^2 + q$?
Which of the following statements is true about the axis of symmetry for the function $f(x) = ax^2 + q$?
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For which scenario would the graph of $y = ax^2 + q$ result in a 'frowning' shape?
For which scenario would the graph of $y = ax^2 + q$ result in a 'frowning' shape?
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What is the result when the coefficient $a$ is positive in terms of the graph's behavior?
What is the result when the coefficient $a$ is positive in terms of the graph's behavior?
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Which statement about the range of the function $y = ax^2 + q$ is accurate when $q$ is negative and $a$ is positive?
Which statement about the range of the function $y = ax^2 + q$ is accurate when $q$ is negative and $a$ is positive?
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What are the coordinates of the turning point for the function $f(x) = ax^2 + q$ when $a < 0$?
What are the coordinates of the turning point for the function $f(x) = ax^2 + q$ when $a < 0$?
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If the function $y = ax^2 + q$ has an axis of symmetry at $x = 0$, which of the following must be true?
If the function $y = ax^2 + q$ has an axis of symmetry at $x = 0$, which of the following must be true?
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In a function of the form $f(x) = ax^2 + q$, what do the x-intercepts indicate?
In a function of the form $f(x) = ax^2 + q$, what do the x-intercepts indicate?
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What is represented by the y-intercept in the function $y = ax^2 + q$?
What is represented by the y-intercept in the function $y = ax^2 + q$?
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What effect does a positive integer value of q have on the graph of the function y = ax^2 + q?
What effect does a positive integer value of q have on the graph of the function y = ax^2 + q?
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If a is negative and greater than -1 in the function y = ax^2 + q, what is the appearance of the graph?
If a is negative and greater than -1 in the function y = ax^2 + q, what is the appearance of the graph?
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Which statement is true when the value of a is between 0 and 1?
Which statement is true when the value of a is between 0 and 1?
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How does a negative value of q affect the graph of the function y = ax^2 + q when a is also negative?
How does a negative value of q affect the graph of the function y = ax^2 + q when a is also negative?
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What effect does increasing the absolute value of a have on the shape of the graph for a > 0?
What effect does increasing the absolute value of a have on the shape of the graph for a > 0?
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Which effect does a change in the sign of a have on the graph of y = ax^2 + q?
Which effect does a change in the sign of a have on the graph of y = ax^2 + q?
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What describes the domain of any quadratic function in the form y = ax^2 + q?
What describes the domain of any quadratic function in the form y = ax^2 + q?
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If q is equal to 0 in the function y = ax^2 + q, how does it affect the turning point?
If q is equal to 0 in the function y = ax^2 + q, how does it affect the turning point?
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What is the range of the function when the coefficient of $x^2$ is positive and $q$ is 5?
What is the range of the function when the coefficient of $x^2$ is positive and $q$ is 5?
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When does the graph of the function $y = ax^2 + q$ change from a 'smile' to a 'frown' shape?
When does the graph of the function $y = ax^2 + q$ change from a 'smile' to a 'frown' shape?
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What characteristic is common in all parabolic graphs of the form $f(x) = ax^2 + q$?
What characteristic is common in all parabolic graphs of the form $f(x) = ax^2 + q$?
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For a quadratic function $y = ax^2 + q$, how can one determine the x-intercepts?
For a quadratic function $y = ax^2 + q$, how can one determine the x-intercepts?
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If the function $y = ax^2 + q$ has a maximum turning point, which of the following must be true about $a$?
If the function $y = ax^2 + q$ has a maximum turning point, which of the following must be true about $a$?
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In the context of the function $y = ax^2 + q$, which statement is accurate regarding the turning point and its relationship with $q$?
In the context of the function $y = ax^2 + q$, which statement is accurate regarding the turning point and its relationship with $q$?
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How does increasing the absolute value of the coefficient $a$ affect the appearance of the graph when $a > 0$?
How does increasing the absolute value of the coefficient $a$ affect the appearance of the graph when $a > 0$?
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What is the impact of a negative value of $q$ on the turning point of the graph when $a < 0$?
What is the impact of a negative value of $q$ on the turning point of the graph when $a < 0$?
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What can be inferred about the graph's shape when $-1 < a < 0$?
What can be inferred about the graph's shape when $-1 < a < 0$?
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When the coefficient $a$ is between 0 and 1, what effect occurs on the width of the parabolic graph?
When the coefficient $a$ is between 0 and 1, what effect occurs on the width of the parabolic graph?
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If the function $y = ax^2 + q$ results in a 'smiling' shape, which must be true about $a$ and $q$?
If the function $y = ax^2 + q$ results in a 'smiling' shape, which must be true about $a$ and $q$?
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In what scenario will a parabolic graph with $a < 0$ have a maximum turning point at (0; q)?
In what scenario will a parabolic graph with $a < 0$ have a maximum turning point at (0; q)?
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What change occurs to the graph of $y = ax^2 + q$ if $q$ is set to a positive value?
What change occurs to the graph of $y = ax^2 + q$ if $q$ is set to a positive value?
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What does the domain of any quadratic function in the form $y = ax^2 + q$ signify?
What does the domain of any quadratic function in the form $y = ax^2 + q$ signify?
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