SOLUTION: What is the vertex of the parabola defined by--- y=-2(x+3)^2+5 The answer choices are; A. (-3,5) B. (-3,-5) C. (3,5) D. (3,-5)

Algebra ->  Graphs -> SOLUTION: What is the vertex of the parabola defined by--- y=-2(x+3)^2+5 The answer choices are; A. (-3,5) B. (-3,-5) C. (3,5) D. (3,-5)      Log On


   

Question 611553: What is the vertex of the parabola defined by---
y=-2(x+3)^2+5
The answer choices are; A. (-3,5) B. (-3,-5) C. (3,5) D. (3,-5)
Found 2 solutions by richwmiller, Edwin McCravy:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
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Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
Learn the rule:

y = a(x - h)² + k 

has vertex (h, k). 

Notice that h has the OPPOSITE sign from the sign just before it, 
and that k has the SAME sign that is before it.

What is the vertex of the parabola defined by---
y = -2(x + 3)² + 5
 
The 3 has a + before it so we use the OPPOSITE sign -.
The 5 has a + before it so we use the SAME sign +.
So the vertex is (-3,5)

What is the vertex of the parabola defined by---
y = (x + 4)² - 6
The 4 has a + before it so we use the OPPOSITE sign -.
The 6 has a - before it so we use the SAME sign -.
So the vertex is (-4,-6)

Edwin