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Marta_Voda [28]
3 years ago
10

NO LINKS!!! This is NOT MULTIPLE CHOICE!!!

Mathematics
2 answers:
Igoryamba3 years ago
8 0

13. y=(x-1)^{2} -2

a. Quadratic Function

b. The parent function is y=x^{2}. Shift 1 units to the left, shift 2 units downward.

-Hope this helped :)

aleksley [76]3 years ago
4 0

Answer:

Given equation:   y=(x+1)^2-2

The function is a <u>quadratic function</u> in <u>vertex form</u>:  y=a(x-h)^2+k

<u>Translations</u>

For a > 0

f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}

f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}

f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}

f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}

Parent function:  f(x)=x^2  

<u>Translations</u>

Translated 1 unit left:  f(x+1)=(x+1)^2

Then translated 2 units down:  f(x)-2=(x+1)^2-2

Therefore, translate the parent function by <u>1 unit left</u> and <u>2 units down</u> to produce the given equation.

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