SOLUTION: Describe the graph of y=(x+5)^2 - 8. What graph is it. The correct answer is one of the following. Which one is it? A) A parabola opening upwards, shifted 5 units left, 8 un

Algebra ->  Rational-functions -> SOLUTION: Describe the graph of y=(x+5)^2 - 8. What graph is it. The correct answer is one of the following. Which one is it? A) A parabola opening upwards, shifted 5 units left, 8 un      Log On


   

Question 1198832: Describe the graph of y=(x+5)^2 - 8. What graph is it.
The correct answer is one of the following. Which one is it?
A) A parabola opening upwards, shifted 5 units left, 8 units down.
B) A parabola opening downward, shifted 5 units right, then shifted 8 units down.
C) A parabola opening upwards, shifted 5 units down, then shifted 8 units left
D) A parabola opening downward, shifted 5 units up, then shifted 8 units right
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
parent function is:
y=x%5E2+
the graph is

+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E2%29+
you are given
y=%28x%2B5%29%5E2+-+8

the graph is

+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+%28x%2B5%29%5E2+-+8%29+

compare both on the same graph
+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+%28x%2B5%29%5E2+-+8%2C+x%5E2%29+

as you can see, answer is
A) A parabola opening upwards, shifted 5 units left, 8 units down