Question

2 v+ 2 = } (– 4) In the function , what effect does the number 4 have on 2 the graph, as compared to the graph of V=X? O A. It shifts the graph down 4 units. B. It shifts the graph 4 units to the right. OC. It shifts the graph 4 units to the left. O D. It shifts the graph up 4 units.

Answer 1

We want to know the effect that the number 4 has on the graph of:

$v+2=\frac{1}{3}(x-4)^2$

compared with the graph of

$v=x^2$

For doing so, we remember the basic transformations of the functions:

If we have a transformation of the type: f(x-c) the function is f(x) shifted c units:

• to the ,right ,if c is ,negative

,

• to the ,left ,if c is ,positive

In this case we have a factor

$(x-4)^2$

of the function, thus, this means that the function is shifted 4 units to the right