Question

Given the function f(x) = 2(x − 1)2 + 1, indicate the shifts that will affect the location of the vertex, and explain what effect they will have. Use complete sentences.

f(x+3)
f(x) + 3
f(3x)
3•f(x)

Answer 1

@study100

Answer 2

@study100 help?

Answer 3

vertex (h,k)
h= 1 k= 1
so
vertex (1,1)

Answer 4

f(x+3)
when you add x in f(x) with a positive number, the graph shifts left .
so f(x+3) shifts the vertex left by 3 units.

Answer 5

when you add a positive number to f(x), the graph moves up.
so f(x) + 3 shifts the vertex up by 3 units.

Answer 6

when you multiply the constant with x in f(x), the vertex do not change.
However, the graph is stretched horizontally by a factor of 3

Answer 7

When you multiply a positive number (except fractions with numerators <denominators) to f(x) , the graph is stretched vertically. However, it does not affect the vertex. It's still at (1,1)

Answer 8

thanks! c:

Answer 9

\(\color{salmon}{\large\heartsuit}\large\text{You're Most Welcome! }\color{salmon}\heartsuit\)
\(~~~~~~~~~~~~~~~\color{green}{\large\ddot\smile}\color{blue}{\large\ddot\smile}\color{salmon}{\large\ddot\smile}\color{blue}{\large\ddot\smile}\color{salmon}{\large\ddot\smile}\)
\(~~~~~~~~~~~~~~~~~~~~\color{salmon}{\large\bigstar}\color{salmon}{\large\bigstar}\color{salmon}{\large\bigstar} \)