Question

a) Graph the following: f(x) = 3(x + 1)2 H10 9 8 7 커 6 5 or 4 3 2 1 10 -9 -8 -2 - 1 2 3 6 8 9 -2 -4 -5 -6 -7 -8 -9 10+ Clear All Draw: b) Use the graph to identify the vertex vertex is c) Use the graph to identify the axis of symmetry Axis of symmetry. x =

Answer 1

$f(x)=3\cdot(x+1)^2$

According to the equation of the function we can say that it comes from the parent function

$y=x^2$

since it is added 1 unit inside the parentheses it means that the function is shifted 1 unit to the left.

Also since it is multiplied by 3 it means that the function is compressed by 3.

The vertex is going to be at (-1,0)

and the axis of symmetry at x=-1