Which statements are true pls. 13. Which statements about the function f(x) = 4x +24x-28 are true?2.The function written in intercept form is f(k) = 4(x- 7)(x+1).The axis of symmetry of the graph is x -3.The x-intercepts of the graph are -7 and 1.d.a.%3Db.C.The y-intercept of the graph is -28.The parabola opens down.f.e.The minimum value of the function is -64.ame:

Name: Which statements are true pls. 13. Which statements about the function
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Description: Which statements are true pls. 13. Which statements about the function f(x) = 4x +24x-28 are true?2.The function written in intercept form is f(k) = 4(x- 7)(x+1).The axis of symmetry of the graph is x -3.The x-intercepts of the graph are -7 and 1.d.a

Answered: 13. Which statements about the function…

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 50PFA

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Which statements are true pls.

13. Which statements about the function f(x) = 4x +24x-28 are true?
2.
The function written in intercept form is f(k) = 4(x- 7)(x+1).
The axis of symmetry of the graph is x -3.
The x-intercepts of the graph are -7 and 1.
d.
a.
%3D
b.
C.
The y-intercept of the graph is -28.
The parabola opens down.
f.
e.
The minimum value of the function is -64.
ame:

Expert Solution

Step 1

$The given function is : f (x) = 4 x^{2} + 24 x - 28 We will factor it : f (x) = 4 (x^{2} + 6 x - 7) = 4 (x + 7) (x - 1) So the x intercepts are - 7 and 1 . The axis of symmetry is = \frac{- 7 + 1}{2} = \frac{- 6}{2} = - 3 To find the y intercept we plug x = 0 So, f (x) = 4 {(0)}^{2} + 24 (0) - 28 = - 28 y intercept = - 28 The leading coefficient is = 4 (positive) so it will open upwards . The minimum value is at the vertex . The vertex is on the axis of symmetry x = - 3 At x = - 3, f (x) = 4 {(- 3)}^{2} + 24 (- 3) - 28 = - 64$

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