See images Betty was asked to find a quadratic equation (in vertexform) of the parabola with vertex (4,-3) andcontaining the point (2,-1).Identify WHAT Betty did wrong AND explain the reasonWHY it is wrong.Betty's work is in the table below.y- 3 = a(x+ 4)2X= 2&y =-1-1-3 = a(2+4)2Now tell Betty what the correct equation is.-4 = a(6)?-4α-36Submit= a- = aSo the equation is: y –- 3=- (x+ 4)2 Tom was asked to graph the quadratic equationIdentify WHAT Tom did wrong AND explain the reasonWHY it is wrong.(The mistake is OT that Tom forgot to graph his finalequation. We are looking at his process of Completingthe Square.)y = 2x2 + 12x + 14. He knew he needed to transformthe equation from standard form to vertex form in orderto graph it.Tom's work is in the table below.y = 2x2 + 12x + 14divide by 2y=x? + 6x + 7Now tell Tom what the correct vertex form of they-7=x? + 6xequation is.y-7+9=x? + 6x + 9y+2= (x+3)?Submit

Answered: Betty was asked to find a quadratic…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section: Chapter Questions

Problem 7DE

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Betty was asked to find a quadratic equation (in vertex
form) of the parabola with vertex (4,-3) and
containing the point (2,-1).
Identify WHAT Betty did wrong AND explain the reason
WHY it is wrong.
Betty's work is in the table below.
y- 3 = a(x+ 4)2
X= 2
&
y =-1
-1-3 = a(2+4)2
Now tell Betty what the correct equation is.
-4 = a(6)?
-4α-36
Submit
= a
- = a
So the equation is: y –- 3=- (x+ 4)2

Tom was asked to graph the quadratic equation
Identify WHAT Tom did wrong AND explain the reason
WHY it is wrong.
(The mistake is OT that Tom forgot to graph his final
equation. We are looking at his process of Completing
the Square.)
y = 2x2 + 12x + 14. He knew he needed to transform
the equation from standard form to vertex form in order
to graph it.
Tom's work is in the table below.
y = 2x2 + 12x + 14
divide by 2
y=x? + 6x + 7
Now tell Tom what the correct vertex form of the
y-7=x? + 6x
equation is.
y-7+9=x? + 6x + 9
y+2= (x+3)?
Submit

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"Since you have asked multiple questions, we will solve the first question for you. If you want any specific question to be solved then please specify the question number or post only that question."

Substitute 4 for h and -3 for k in the equation $y - k = a {(x - h)}^{2}$ , to obtain the equation of the parabola with the vertex $(h, k)$ .

$\begin{array}{rcl} y - k & = & a {(x - h)}^{2} \\ y - (- 3) & = & a {(x - 4)}^{2} \\ y + 3 & = & a {(x - 4)}^{2} \end{array}$

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