Question

Solve the given question related to graphing common functions. Find the vertex form of the parabola that passes through the point $(1,2)$ and has a vertex at $(-1,6)$.

   Solve the given question related to graphing common functions.
Find the vertex form of the parabola that passes through the point $(1,2)$ and has a vertex at $(-1,6)$.
Calculus for dummies: 1,001 calculus practice problems
Calculus for dummies: 1,001 calculus practice problems
Patrick Jones 1st Edition
Chapter 1, Problem 70 ↓
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Solve the given question related to graphing common functions. Find the vertex form of the parabola that passes through the point $(1,2)$ and has a vertex at $(-1,6)$.
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Transcript

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00:01 So in this problem, we know that the parabola opens to the left, and our vertex is at 2 -9 -4.
00:08 And we're trying to write the equation of the parabola that passes through the point, negative 1, 3.
00:16 So if this opens to the left, we're going to get a parabola that looks something like this.
00:21 And again, i don't really need the picture, but i'm just doing that for my own good.
00:25 The important part here is that the vertex here is at 2 -9 -4.
00:31 And because the parabola opens left and right, i know that the y part of the equation will be squared and the x part will not be.
00:40 Well, the x part will be at negative 2 for my vertex.
00:44 Positive 2 becomes negative 2 in the parentheses...
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