Question

The function f(x)=√ Is modified as follows:

. It is multiplied by-3.
• x is replaced by x+3.
The new function is f(1) = -3√√2+3
Which of the following transformations will occur on the new, modified graph? Choose all that apply.
reflection over the y-axis
dilation
O reflection over the x-axis
Overtical translation

Answer 1

Reflection in the x-axis

Explanation:

f(x) = √x

Shift left 3 units:

f(x + 3) = √(x + 3)

Reflection in x-axis:

-f(x + 3) = -√(x + 3)

Vertical stretch:

-3.f(x + 3) = -3√(x + 3) = g(x)

g(1) = -3√((1) + 3)

g(1) = -6