SOLUTION: I have been working on this math problem and I can't seem to figure it out. I was wondering if someone could help me? Please and Thank You!! I would deeply appreciate it!! Find

Question 184808This question is from textbook Algebra and Trigonometry Structure and Method book 2
: I have been working on this math problem and I can't seem to figure it out. I was wondering if someone could help me? Please and Thank You!! I would deeply appreciate it!!
Find all intercepts of the parabola y-2=-1/2(x-4)^2 This question is from textbook Algebra and Trigonometry Structure and Method book 2

Answer by jojo14344(1513) (Show Source): You can put this solution on YOUR website!

Given: --->, distribute and transfer to the right.

, EQN 1
First, we'll find the vertex thru Vertex form:
where of the vertex
we complete the square:
Divide the whole eqn by :
--->

You see, & --->VERTEX (4,2)
Next:
Let , as per EQN 1

, Y Intercept
Next:
For the X Intercepts, we solve the Eqn1:
by QUADRATIC, where
Solving for he discriminant:
Therefore,

Also,
Then we see the graph, plotting all intercepts:

Thank you,
Jojo
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