Question

to shift the graph of an equation some numbers of units to the ___, you add that number to each graph

Answer 1

B

Explanation:

Given

y = f(x), then

y = f(x ± a) is a horizontal translation of a units

• If f(x + a) then shift of a units left ←

• If f(x - a) then shift of a units right →

Answer 2

When you transform a function by writing

`f(x)\mapsto f(x+h)`

You're translating the function horizontally, h units to to the left if h is positive, and h units to the right if h is negative.

So, for example, given the "standard" parabola
`f(x)=x^2`

We have that the child function
`f(x+3) = (x+3)^2` has the same shape, but it's translated 3 units to the left.