Question

Describe how the x- and y-coordinates of the given quadratic functions differ from the x- and y-coordinates of corresponding points of y=x^2

y=(x+7)^2

Answer 1

$y=(x+7)^2$

$=(x+7)(x+7)$

$=x(x+7)+7(x+7)$

$=x^2+7x+7x+49$

$=x^2+14x+49$

$a=1, b=14, and c=49$

$x=-b/2a$

$=-14/2$

$x=-7$

$y=(x)^2$

$y=(-7)^2$

$=49$

$Coordinates (-7, 49)$