Algebra 1 B Unit Test Review

The steps in writing f(x)=18x+3x2 in vertex form are shown, but a value is missing in the last step. Write the function in standard form. Factor a out of the first two terms. f(x)=3(x2+6x) Form a perfect square trinomial. f(x)=3(x2+6x+9)−3(9)Write the trinomial as a binomial squared. f(x)=3(x+___)2−27 What is the missing value in the last step?

A. 3

What is the range of the function f(x) = −(x + 3)2 + 7?

A. all real numbers less than or equal to 7

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)

Gerald graphs the function f(x) = (x - 3)2 - 1. Which statements are true about the graph? Select three options.

B. The range is {y| y ≥ -1}. C. The function decreases over the interval (-∞, 3). E. The vertex is (3, -1).

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

C. 2

The graph of the function f(x) = (x + 2)(x − 4) is shown. Which describes all of the values for which the graph is negative and increasing?

C. all real values of x where 1 < x < 4

The image shows a geometric representation of the function f(x) = x2 + 2x + 3 written in standard form. What is this function written in vertex form?

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

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

D. 121

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.