Identify the equation of a quadratic function with a vertex of (3, 0) that also contains the point (4, -1) O y= r - 6x +9 y = (x - 4)2 +1 O y= -0.5x +3 O y=-(r-3)2 Explain your thinking in the box below.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.2: Transformations Of Quadratic Functions
Problem 8AGP
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Identify the equation of a quadratic function with a vertex of (3,0) that also contains the point (4,−1).
Identify the equation of a quadratic function with a vertex of (3,0) that also contains the point (4,-1).
y = 1 - 6x + 9
O y= (x- 4) +1
y = -0.5x2 + 3
O y =-(x- 3)2
Explain your thìnking in the box below.
B I
US X x
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A A-
99
三三三
Transcribed Image Text:Identify the equation of a quadratic function with a vertex of (3,0) that also contains the point (4,-1). y = 1 - 6x + 9 O y= (x- 4) +1 y = -0.5x2 + 3 O y =-(x- 3)2 Explain your thìnking in the box below. B I US X x Font Size A A- 99 三三三
Expert Solution
Step 1

As given by the question,

There are given that the vertex is 3, 0 and the point is 4, -1.

Then,

To identify the equation, here use standard vertex form of the equation:

So,

From the standard vertex form of the equation:

y=ax-h2+k

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