Quadratic Functions: Vertex Form — 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

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

Revolt · Accepted Answer

all real numbers less than or equal to 7

Question 3

The graph of the function f(x) = (x + 2)(x − 4) is shown.

Revolt · Accepted Answer

all real values of x where 1 < x < 4

Question 4

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

Revolt · Accepted Answer

right 3 units, down 3 units

Question 5

Which is a factor of x2 + 5x − 24?

Revolt · Accepted Answer

(x + 8)

Question 6

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 7

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 8

All-Star Trinkets estimates its monthly profits using a quadratic function. The table shows the total profit as a function of the number of trinkets produced.

Revolt · Accepted Answer

f(x) = –4(x – 50)(x – 250)

Question 9

A polynomial is factored using algebra tiles.

Revolt · Accepted Answer

(x + 1) and (x − 3)

Question 10

Which equation, when graphed, has x-intercepts at (8, 0) and (−2, 0) and a y-intercept at (0, −48)?

Revolt · Accepted Answer

f(x) = 3(x − 8)(x + 2)

Quadratic Functions: Vertex Form — Unit test Answers

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