Common Core Algebra I Unit Test

Which graph represents the function f(x) = -x^2 + 5?

What is the range of the function f(x) = −(x + 5)(x + 1)?

What are the domain and range of the function f(x) = -x^2 - 2x + 15?

Which is one of the transformations applied to the graph of f(x) = x^2 to change it into the graph of g(x) = -x^2 + 16x - 44?

Which translation maps the graph of the function f(x) = x^2 onto the function g(x) = x^2 + 2x + 6?

What are the coordinates of the vertex of the graph for f(x) = x^2 + 4x − 5?

What is the function written in vertex form for f(x) = 40x + 5x^2?

What are the x-intercepts of the function f(x) = -2x^2 - 3x + 20?

Which function does the graph represent if it is given?

Which equation has x-intercepts at (2, 0) and (4, 0) and a y-intercept of (0, -16)?

What is true about the domain and range of the function f(x) = -(x + 3)(x - 1)?

What are the missing values in the table for the projectile motion of a disc?

What is the axis of symmetry for the function f(x)=7−4x+x^2?

What is the function written in vertex form for f(x) = 4x^2 + 48x + 10?

What is the function that represents the profit model given selling units?

The function f(x) = -x² + 5 is represented by a downward-opening parabola intersecting the y-axis at 5.
For f(x) = −(x + 5)(x + 1), the range includes all real numbers less than or equal to 4.

The domain of f(x) = -x² - 2x + 15 is all real numbers. The range is {y | y ≤ 16}.
The vertex for the function f(x) = x² + 4x - 5 is located at (-2, -9).

The graph of f(x)=x² transformed into g(x) = -x² + 16x - 44 involves widening the original parabola.
Translation of f(x) = x² to g(x) = x² + 2x + 6 shifts left 1 unit and up 5 units.

The axis of symmetry for f(x) = x² + 4x - 5 is x = -2, indicating the vertex occurs at the point (-2, -9).
The x-intercepts of f(x) = -2x² - 3x + 20 are at (-4, 0) and (0, -4).

The vertex form of f(x) = 40x + 5x² is derived as f(x) = 5(x + 4)² - 80.
The conversion from f(x) = 4x² + 48x + 10 into vertex form yields f(x) = 4(x + 6)² - 26.

A company's profit function modeled as f(x) = −2(x - 105)² + 18,050 indicates zero profit at 10 units sold and maximum profit at 105 units.

In projectile motion, the disc's height values can be determined from the given intervals, resulting in A = 4 and B = 3 after computations.

The domain of f(x) = -(x + 3)(x - 1) is all real numbers, while its range includes values less than or equal to 4.
The equation f(x) = -2(x - 2)(x - 4) models a graph with x-intercepts at (2, 0) and (4, 0), with a y-intercept at (0, -16).