Please help me if you know how to do it please

Problem 1

Answers:

A) vertical shift down 5

D) horizontal shift right 4

Explanation:

The replacement of x with x-4 means we shift the xy axis 4 units to the left, giving the illusion the curve shifts 4 units to the right. The -5 at the end effectively subtracts 5 from the y coordinate so that's why we shift 5 units down.

Problem 2

Answers:

A) Vertical stretch

C) Vertical shift up 4

Explanation:

The first 2 indicates we stretch by a factor of 2. So it is twice as tall as before. The x-3 means we shift the curve 3 units to the right. The +4 at the end means we move 4 units up.

Problem 3

Choice A) y = 3(x-4)^2 - 2

Explanation:

The 3 makes the graph 3 times taller than before. The x-4 shifts the graph 4 units to the right. The -2 at the end shifts everything 2 units down.

Problem 4

Choice B)  y = -(x+6)^2

Explanation:

The negative out front is the same as -1 out front. This reflects everything over the x axis. For instance, the point (0, 36) moves to (0,-36). The replacement of x with x+6 shifts everything 6 units to the left.