Find the vertex of graph of f(x) = 2x2 – 4x – 1. We will identify the values of a and b. Then we can substitute into the formula for the vertex of a parabola to find its coordinates. The function is written in f(x) = ax² + bx + c form, where a = 2 and b = -4. To find the vertex of its graph, we calculate the following. Substitute 1 Substitute 2 for a and -4 for b. = 2a 2(2) for - 2a -4 =O (1)2 – 4(1) – 1 %3D This is the y-coordinate of the vertex. This is x-coordinate of the vertex. The vertex is the point (1, -3). Find the vertex of the graph of f(x) = 2x² – 4x + 4. (х, у) %3D
Find the vertex of graph of f(x) = 2x2 – 4x – 1. We will identify the values of a and b. Then we can substitute into the formula for the vertex of a parabola to find its coordinates. The function is written in f(x) = ax² + bx + c form, where a = 2 and b = -4. To find the vertex of its graph, we calculate the following. Substitute 1 Substitute 2 for a and -4 for b. = 2a 2(2) for - 2a -4 =O (1)2 – 4(1) – 1 %3D This is the y-coordinate of the vertex. This is x-coordinate of the vertex. The vertex is the point (1, -3). Find the vertex of the graph of f(x) = 2x² – 4x + 4. (х, у) %3D
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.4: More Quadratic Functions And Applications
Problem 59PS
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Transcribed Image Text:Find the vertex of graph of f(x) = 2x² – 4x – 1.
We will identify the values of a and b.
Then we can substitute into the formula for the vertex of a parabola to find its
coordinates.
The function is written in f(x)
ax + bx + c form, where a = 2 and b
-4. To find the vertex of its graph, we calculate the following.
Substitute 1
r(-)
-(0)
Substitute 2 for a
b
2a
2(2)
and -4 for b.
2а
for
2a
(1)2 – 4(1) – 1
This is the
y-coordinate of
the vertex.
This is x-coordinate
of the vertex.
The vertex is the point (1, -3).
Find the vertex of the graph of f(x) = 2x² - 4x + 4.
(х, у)
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