Question

What graph represents the function f (x − 3), if f (x) = x2?

Answer 1

What will be your end equation?

Answer 2

f(x)=(x-3)^2

Answer 3

yes so its a parabola. and how does subtracting 3 from x shift the parabola. up, down, left, or right

Answer 4

down?

Answer 5

nope. for a parabola there are the rules:
(x-a)^2 shifts it right a units.
(x+a)^2 shifts it left a units
x^2 + a shifts it up
x^2 - a shifts it down

Answer 6

will it open upwards or downwards

Answer 7

its just like a normal parabola. just shift to the right 3 units. so it will open upward

Answer 8

thank you

Answer 9

no problem. my pleasure