Algebra Class 10: Transformations and Slopes

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What effect does the transformation f(x + h) have on the graph?

Translates up

Translates down

Translates right

Translates left (correct)

Which transformation occurs when using -f(x)?

Reflection over x-axis (correct)

Vertical translation down

Vertical translation up

Reflection over y-axis

How does the slope of the function change during a dilation?

It remains the same

It becomes negative

It changes depending on the stretch (correct)

It always increases

What happens to the orientation of the graph when it is shrunk?

It remains the same Signup and view all the answers

Which of the following transformations translates the graph 3 units down?

f(x) - 3 Signup and view all the answers

What is the point-slope form of a line given point (-1, -1) and a slope of 1?

y + 1 = 1(x + 1) Signup and view all the answers

Which of the following is a characteristic of parallel lines in relation to slope?

They have the same slope. Signup and view all the answers

In the slope-intercept form, what does the variable 'b' represent?

The y-intercept of the line. Signup and view all the answers

What is the first step to convert a linear equation from standard form to slope-intercept form?

Isolate the variable 'y'. Signup and view all the answers

What characteristic do parallel lines share?

They share the same slope. Signup and view all the answers

What is the slope of a line defined by the equation y = 2x - 3?

2 Signup and view all the answers

What is true about the slopes of perpendicular lines?

They are opposite reciprocals. Signup and view all the answers

Which equation represents a linear function where the slope is 1?

y = x Signup and view all the answers

What describes the intersection of perpendicular lines?

They intersect at a right angle. Signup and view all the answers

What can be said about the y-intercepts of parallel lines?

They are always different. Signup and view all the answers

What does a positive correlation indicate about the relationship between two variables?

Variables move in the same direction. Signup and view all the answers

Which range is indicative of a strong correlation in the R-Correlation Coefficient?

-5 to -3 or 3 to 5 Signup and view all the answers

What is an indication of a weak correlation between two variables?

Points are more spread out. Signup and view all the answers

If the correlation coefficient is 0, what can be inferred about the relationship between the two variables?

There is no linear relationship. Signup and view all the answers

What is the main characteristic of a strong correlation?

Points are very close to a line. Signup and view all the answers

What is the first step in graphing a linear inequality?

Put the inequality in slope-intercept form Signup and view all the answers

When is a dashed line used to graph a linear inequality?

When the inequality is less than or greater than Signup and view all the answers

What happens to the inequality sign when multiplying by a negative number?

It is flipped Signup and view all the answers

Which direction do you shade when graphing the inequality $y < 2x + 3$?

Below the line Signup and view all the answers

What type of line represents the inequality $x eq 5$?

Dashed line Signup and view all the answers