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.
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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question
Identify the equation of a quadratic function with a vertex of (3,0) that also contains the point (4,−1).

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
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Step 1
As given by the question,
There are given that the vertex is and the point is .
Then,
To identify the equation, here use standard vertex form of the equation:
So,
From the standard vertex form of the equation:
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