Equal Protections under the Law — Unit test

Question 1

Jan'ai was asked to determine the minimum for a function with zeros located at –1 and 5, which also has a y-intercept of (0, –25). Her work is shown.Which best describes the first error in Jan'ai's work?

Revolt · Accepted Answer

She incorrectly determined the x-coordinate of the vertex.

Question 2

three

Revolt · Accepted Answer

The vertex of the function is at (–3,–16).; The graph is increasing on the interval x > –3.; The graph is positive only on the intervals where x 1.

Question 3

Which statements are true about the graph of the function h(x) = –5x2 + 60x – 200? Select three options.The axis of symmetry is the line x = –6.The graph of h(x) will not intersect the graph of the parent function, f(x) = x2.The vertex of the graph is at (6, –20).The parabola has a maximum.The value of k, when the equation is written in vertex form, is –200.

Revolt · Accepted Answer

The graph of h(x) will not intersect the graph of the parent function, f(x) = x2.; The vertex of the graph is at (6, –20).; The parabola has a maximum.

Question 4

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

Revolt · Accepted Answer

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

Question 5

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

Revolt · Accepted Answer

Answer image: https://media.edgenuity.com/evresources/3109/3109-09/3109-09-02/3109-09-02-assessment/3109-09-02-22a.png

Question 6

Which function has a vertex on the y-axis?

Revolt · Accepted Answer

f(x) = (x – 2)(x + 2)

Question 7

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

Revolt · Accepted Answer

3

Question 8

The function f(x) = –x2 – 4x + 5 is shown on the graph.

Revolt · Accepted Answer

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

Question 9

On a coordinate plane, a parabola opens up. It goes through (negative 3.25, 5), has a vertex of (1.7, negative 2.75), and goes through (6.25, 5). Solid circles appear on the parabola at (negative 3, 4), (0, negative 2), (1.5, negative 2.75), (3, negative 2), (6, 4).

Revolt · Accepted Answer

2

Question 10

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

Revolt · Accepted Answer

(4, 0) and (−9, 0)

Equal Protections under the Law — Unit test Answers

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