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Name: [tex]$\qquad$[/tex]
UNIT \#8 ASSESSMENT COMMON CORE ALGEBRA I
Score: [tex]$\qquad$[/tex] 142

PART I Questions: Answer all questions in this part by writing the choice of the appropriate answer in the box beside the problem. Each question is worth 2 points. No partial credit will be awarded.

1. For the quadratic function [tex]$f(x)=5(x-2)^2-8$[/tex], which of the following is the value of its [tex]$y$[/tex]-intercept?

(1) -8
(2) 12
(3) -2
(4) 22



Answer :

GinnyAnswer
To find the y-intercept of the quadratic function [tex]\( f(x) = 5(x - 2)^2 - 8 \)[/tex], we need to determine the value of the function when [tex]\( x = 0 \)[/tex].

1. Substitute [tex]\( x = 0 \)[/tex] into the function:

[tex]\[ f(0) = 5(0 - 2)^2 - 8 \][/tex]

2. Simplify inside the parentheses:

[tex]\[ 0 - 2 = -2 \][/tex]

3. Square the result:

[tex]\[ (-2)^2 = 4 \][/tex]

4. Multiply by 5:

[tex]\[ 5 \cdot 4 = 20 \][/tex]

5. Subtract 8:

[tex]\[ 20 - 8 = 12 \][/tex]

Therefore, the y-intercept of the function is 12.

The correct answer is:
(2) 12

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