What are the quadratic functions? I had trouble with number 6,7,8 • Follow This One!Study the graph of the quadratic function below. Determine the equationgiven in the graph by following the steps below.1. Identify the vertex (h, k)2. Identify the coordinates ofany point on the parabola.3. Substitute the vertex (h, k)and coordinates of anypoint (x, y)into the vertexform y = a(x – h)? + k.4. Get the value of a.5. Write the equation of thequadratic function.* Try to Understand!When the vertex and any point on the parabola are clearly seen, theequation of the quadratic function can be determined by using the form of aquadratic function y = a(x – h)² + k.Do the "Follow This One!"" activity above. The vertex of the graph ofthe quadratic function is (4, –2). The graph passes through the point (2,0). By11Examplereplacing x and y with 2 and 0, respectively, and h and k with 4 and -2respectively, we havey = a(x – h)² + k(0) = a(2 – 4)² + (-2) the x-intercept0 = 4a – 2taSubstitute the vertex andSubstitute the vertex, h=4, k=-2 and the value of a to y =a(x – h)? + k form therequired quadratic functiony = a(x – h)² +ky =5(x- 4)² – 2SimplifyDivide both sidesby 4a =7Thus, the quadratic equation is y =(x- 4)² – 2.Note: To determine a quadratic function given its graph, you need tohave the vertex any point of the graph. A. y = -(x – 1)² + 2B. y = (x – 1)2 + 2C. y = -(x + 1)2 + 2D. y = (x – 1)2 + 2257.A. y = -2(x – .B. y = 2(x – 4)2 +1C. y = 2(x + 4)² – 1D. y = -2(x + 4)² – 1+1A. y =(x + 4)² + 2B. y =(x – 4)² + 2C. y =(x+ 4)? – 2D. y =(x – 4)2 – 28.6.

Quadratic Functions: Quadratic functions are the function of degree 2 in one variable and that can…

A. y = -(x – 1)2 + 2 B. y = (x- 1)? + 2 C. y = -(x + 1)? +2 D. y = (x – 1)2 +2 6. 25 Les A. y = -2(x – 4)² +1 B. y = 2(x – 4)? + 1 C. y = 2(x +4)2 - 1 D. y = -2(x + 4)2 – 1 7. A. y =(x + 4)* + 2 B. y =(x- 4)2 +2 C. y =x + 4)2 – 2 D. y =(x- 4)2 – 2 8.

A. y = -(x – 1)2 + 2 B. y = (x- 1)? + 2 C. y = -(x + 1)? +2 D. y = (x – 1)2 +2 6. 25 Les A. y = -2(x – 4)² +1 B. y = 2(x – 4)? + 1 C. y = 2(x +4)2 - 1 D. y = -2(x + 4)2 – 1 7. A. y =(x + 4)* + 2 B. y =(x- 4)2 +2 C. y =x + 4)2 – 2 D. y =(x- 4)2 – 2 8.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CR: Review Exercises

Problem 39CR: In the figure, A-B-C. If AB=x, BC=x+7, and AC=4x-3 find x.

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What are the quadratic functions? I had trouble with number 6,7,8

• Follow This One!
Study the graph of the quadratic function below. Determine the equation
given in the graph by following the steps below.
1. Identify the vertex (h, k)
2. Identify the coordinates of
any point on the parabola.
3. Substitute the vertex (h, k)
and coordinates of any
point (x, y)into the vertex
form y = a(x – h)? + k.
4. Get the value of a.
5. Write the equation of the
quadratic function.
* Try to Understand!
When the vertex and any point on the parabola are clearly seen, the
equation of the quadratic function can be determined by using the form of a
quadratic function y = a(x – h)² + k.
Do the "Follow This One!"" activity above. The vertex of the graph of
the quadratic function is (4, –2). The graph passes through the point (2,0). By
11
Example
replacing x and y with 2 and 0, respectively, and h and k with 4 and -2
respectively, we have
y = a(x – h)² + k
(0) = a(2 – 4)² + (-2) the x-intercept
0 = 4a – 2
ta
Substitute the vertex and
Substitute the vertex, h=4, k=-
2 and the value of a to y =
a(x – h)? + k form the
required quadratic function
y = a(x – h)² +k
y =5(x- 4)² – 2
Simplify
Divide both sides
by 4
a =7
Thus, the quadratic equation is y =(x- 4)² – 2.
Note: To determine a quadratic function given its graph, you need to
have the vertex any point of the graph.

A. y = -(x – 1)² + 2
B. y = (x – 1)2 + 2
C. y = -(x + 1)2 + 2
D. y = (x – 1)2 + 2
25
7.
A. y = -2(x – .
B. y = 2(x – 4)2 +1
C. y = 2(x + 4)² – 1
D. y = -2(x + 4)² – 1
+1
A. y =(x + 4)² + 2
B. y =(x – 4)² + 2
C. y =(x+ 4)? – 2
D. y =(x – 4)2 – 2
8.
6.

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