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jimmysmith560 · Feb 17, 2023

Would the following approach help with Question 19?

The function $f(x)=x^2$ will have the following transformations:

Translated $m$ units to the right: $f(x) \longrightarrow f(x-m)$
Dilated vertically by a scale factor of $k$ : $f(x-m) \longrightarrow kf(x-m)$
Translated 5 units down: $k f(x-m) \longrightarrow k f(x-m)-5 \\$

Equating the transformed function with the given equation:

$g\left(x\right)=kf\left(x-m\right)-5$

$3x^2-12x+7=k\left(x-m\right)^2-5$

$=kx^2-2kmx+\left(km^2-5\right)$

Equating the coefficients of $x^2$ and $x$ , we have $k=3$ and $-2km = -12 \Longrightarrow m =2$ .

Need help solving these (1 Viewer)

Dane Red

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