SOLUTION: Identify whether the parabola y=-(x-3)^2 +6 opens up or down and identify the vertex, x-intercepts and y-intercepts. I know it opens down but, I am not sure how to identify the i

Question 56387: Identify whether the parabola y=-(x-3)^2 +6 opens up or down and identify the vertex, x-intercepts and y-intercepts. I know it opens down but, I am not sure how to identify the intercepts or vertex (3,6)?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
y=-(x-3)^2 +6
Intercepts:
Let x=0 to get the y-intercept:
y=-9+6=-3; y-intercept is (0.3)
Let y=0 to get the x-intercepts:
0=-(x-3)^2+6
(x-3)^2=6
x-3=+-sqrt6
x=3+sqrt6 or x=3-sqrt6
These are the x intercepts.
-----------------
Vertex:
(x-3)^2=-(y-6)
Vertex at (3,6)
Cheers,
Stan H.
RELATED QUESTIONS
Given the parabola y=-(x-6)^2-1,determine each of the following Identify whether the... (answered by LtAurora)

Given the parabola y = -(x � 6)2 � 1, determine each of the following. Identify whether (answered by richwmiller)

Given the parabola y = -(x � 6)^2 � 1, determine each of the following. Identify whether (answered by Alan3354)

15.) Graph each parabola identify the vertex, intercepts, and the maximum or minimum y -... (answered by jim_thompson5910)

14.) Graph each parabola. Identify the vertex, intercepts, and the maximum or minimum y � (answered by checkley77)

Graph parabola. Identify vertex, intercepts and maximum or minimum y value... (answered by mersha)

Describe the graph of the following quadratic equations; include the x-intercepts,... (answered by ilana)

Given the quadratic function: f(x) = -1/2x^2-3x+5/2 a. Determine whether the parabola (answered by MathLover1)

y=x^2+1 I need to find whether the graph opens up, or opens down, find the vertex, and... (answered by MathTherapy)