Question

Which describes the effect of the transformations on the graph of ƒ(x) = x2 when changed to ƒ(x) =1/2(x − 5)2 + 7?
A) stretched vertically, shifted left 5 units, and shifted down 7 units
B) stretched vertically, shifted right 5 units, and shifted up 7 units
C) compressed vertically, shifted left 5 units, and shifted down 7 units
D) compressed vertically, shifted right 5 units, and shifted up 7 units

Answer 1

Answer:

Remember that the formula is f(x) = a(x-h)^2 + k.

1/2: The closer to zero the a value, the wider, so this will stretch vertically.

5: This means that h=5, so the graph is shifted left 5 units.

7: This means that k=7, so the graph is shifted up 7 units.

The answer is stretched vertically, shifted left 5 units, shifted up 7 units.

Answer 2

The graph is stretched vertically, shifted left 5 units, shifted up 7 units.

We have to determine the effect of the transformations on the graph of ƒ(x) = x^2 when changed to ƒ(x) =1/2(x − 5)^2 + 7

What is the vertex form of the quadratic equation?

The vertex form of the quadratic equation is f(x) = a(x-h)^2 + k.

ƒ(x) =1/2(x − 5)^2 + 7 compare with vertex form therefore we have

a=1/2,h=5 k=7.

a=1/2 means the closer to zero the a value, the wider, so this will stretch vertically.

h=5 and this means that the graph is shifted left 5 units.

k=7 this means that the graph is shifted up 7 units.

The answer is stretched vertically, shifted left 5 units, shifted up 7 units.

To learn more about the vertex form visit:

https://brainly.com/question/525947