The function g(x) is a transformation of the quadratic parent function, A(x) = X2. What function is g(x)?

Q1) g(x)=2x^2-10g(x)=2x

2

−10

Q2) g(x)=6x^2-1g(x)=6x

2

−1

Q3) A. g(x)=x^2+2g(x)=x

2

+2

Step-by-step explanation:

Q1) being f(x)=2x^2-8f(x)=2x

2

−8 and g(x) is the same function but translated 2 units down, that is:

\begin{gathered}g(x)=f(x)-2\\g(x)=2x^2-8-2\\g(x)=2x^2-10\end{gathered}

g(x)=f(x)−2

g(x)=2x

2

−8−2

g(x)=2x

2

−10

Q2) f(x)=\frac{3}{4}x^2-1f(x)=

4

3

x

2

−1 and f(x) has a vertical stretch, the vertical strech is given by multiplying the X factor for the stretch:

\begin{gathered}g(x)=8*\frac{3}{4}x^2-1g(x)=6x^2-1\end{gathered}

g(x)=8∗

4

3

x

2

−1

g(x)=6x

2

−1

Q3) Looking at the graph we can notice that thhe function g(x) is the same fuction f(x) but it has been displaced 2 units up, so:

\begin{gathered}g(x)=f(x)+2\\g(x)=x^2+2\end{gathered}

g(x)=f(x)+2

g(x)=x

2

+2

The correct answer is A.

step-by-step explanation:

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step-by-step explanation:

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