Question

Guys, can you please correct my answer for Question #45 of The Quadratic Relations for me, please?

Answer 1

Answer:

$y=3(x-7)^2$

Step-by-step explanation:

Translations

For $a > 0$

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

$y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis (vertically) by a factor of}\:a$

Parent function

$y=x^2$

Translated 7 units to the right

Subtract 7 from the x-value:

$f(x-7) \implies y=(x-7)^2$

Vertically stretched by a factor of 3

Multiply the whole function by 3:

$3f(x) \implies y=3(x-7)^2$

Answer 2

• y=x²

Streched 7 units right means change in x

So new equation

• y=(x-7)²

Vertically streched by 3

• y=3(x-7)²