Algebra 1 Unit Test Review

Which is the graph of the function f(x) = x2 + 2x + 3?

A

Consider the quadratic function f(x) = x2 - 5x + 12. Which statements are true about the function and its graph? Select three options.

A) The value of f(-10) = 82 B) The graph of the function is a parabola. D) The graph contains the point (20, -8).

The graph of the function f(x) = −3x2 − 3x + 6 is shown. Which statements describe the graph? Select three options.

A) The vertex is the maximum value. B) The axis of symmetry is x = . C) The domain is all real numbers.

The function g(x) is a translation of f(x) = (x + 3)2 - 10. The axis of symmetry of g(x) is 5 units to the right of f(x) . Which function could be g(x)?

A) g(x) = (x - 2)2 + k

Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = x2 - 10x +2?

A) right 5, down 23

What are the x-intercepts of the graph of the function f(x) = x2 + 5x − 36?

B) (4, 0) and (−9, 0)

Part of the graph of the function f(x) = (x - 1)(x + 7) is shown below. Which statements about the function are true? Select three options.

B) The vertex of the function is at (-3,-16). C) The graph is increasing on the interval x > -3. D) The graph is positive only on the intervals where x < - 7 and where x > 1.

Which translation maps the graph of the function f(x) = x2 onto the function g(x) = x2 − 6x + 6?

B) right 3 units, down 3 units

Which is the rate of change for the interval between 3 and 6 on the x-axis?

C) 2

The image shows a geometric representation of the function f(x) = x2 + 2x + 3 written in standard form

C) f(x) = (x + 1)2 + 2

Which function has a vertex on the y-axis?

C) f(x) = (x - 2)(x + 2)

Consider the quadratic function f(x) = x2 - 8x - 4. What is the value of the leading coefficient?

D) 1

What is the y-value of the vertex of the function f(x)=−(x+8)(x−14)?

D) 121

Which is f(6) for the quadratic function graphed?

D) 4

The function f(x) = -x2 - 4x + 5 is shown on the graph. Which statement about the function is true?

D) The range of the function is all real numbers less than or equal to 9.