Question

MEDAL REWARDED
Describe how the graph of y = x2 can be transformed to the graph of the given equation.
y = (x - 2)2 - 15

Answer 1

@John_ES

Answer 2

It must displaced in the x axis 2 units and 15 units in the y axis.

Answer 3

Displaced to the right 2 units (x axis), and moved down 15 (y axis) 15 units.

Answer 4

so "shifted" ?

Answer 5

With equations, if
\[f(x)=x^2\]Then
\[g(x)=f(x-2)-15=(x-2)^2-15\]

Answer 6

Yes, shifted :)

Answer 7

so shifted right 2 and down 15 ? :)

Answer 8

Yes, perfect. :)
(x-a) means shifted a units to the right
(x+a) means shifted a units to the left
;)