Question

the Function h(x)=1/2(x+3)^2+2. How is the graph of h(x) translated from the parent graph of a qaudratic function, f(x)=x^2

Answer 1

Answer:

Translation of h(x) is 2 unit down, 3 unit right and vertical stretch by 2

Step-by-step explanation:

Given function: $h(x)=\dfrac{1}{2}(x+3)^2+2$

Parent function: $f(x)=x^2$

It is parabolic function.

$h(x)=\dfrac{1}{2}(x+3)^2+2$

Shift 2 unit down

$g(x)=\dfrac{1}{2}(x+3)^2+2-2$

$g(x)=\dfrac{1}{2}(x+3)^2$

Shift 3 unit right

$g(x)=\dfrac{1}{2}(x+3-3)^2$

$g(x)=\dfrac{1}{2}x^2$

Vertical stretch by factor 2

$g(x)=2\cdot dfrac{1}{2}x^2$

$g(x)=x^2=f(x)$

So, Translation of h(x) is 2 unit down, 3 unit right and vertical stretch by 2

Answer 2

Answer:

i'm not sure sorry

Step-by-step explanation: