need explanations on how to find X and Y intercepts. If

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.1: Graphing Quadratic Functions
Problem 33PPS
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I need explanations on how to find X and Y intercepts. If I could a good step by step explaning everything that would help. 

Identify the vertex, axis of symmetry, y-intercept, x-intercepts, and opening of the parabola, then sketch the graph.
y = -2(x + 1)² +8
Transcribed Image Text:Identify the vertex, axis of symmetry, y-intercept, x-intercepts, and opening of the parabola, then sketch the graph. y = -2(x + 1)² +8
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Sorry for the follow up question but can I get a deeper explanation on the x intercept.

Why does -2(x+1)2+8 = 0,

From their why do we just take (x+1)2 and how is that just "+". 

To add on, how does x+1 = 2,

Then, from their why do we get x = +2 and -1

and how does that give me x = -3, 1.

Im sorry about all of the questions. During class when we were learning this I got overwhelmed due to the teacher moving so fast. I nver got a chance to ask her anything. I was completely clueless for this part.

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