Graph the quadratic function y = 2x? + 7x - 4 using the online calculator e . Choose the ordered pairs from the dropdown boxes that represent the x- intercepts, the y-intercept and the vertex. x-intercepts (Choose] y-intercept [Choose ) vertex [Choose |

Graph the quadratic function y = 2x? + 7x - 4 using the online calculator e . Choose the ordered pairs from the dropdown boxes that represent the x- intercepts, the y-intercept and the vertex. x-intercepts (Choose] y-intercept [Choose ) vertex [Choose |

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter8: Graphing Quadratic Functions

Section: Chapter Questions

Problem 24CR

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Question

Graph the quadratic function y = 2x? + 7x - 4 using the online calculator e .
Choose the ordered pairs from the dropdown boxes that represent the x-
intercepts, the y-intercept and the vertex.
x-intercepts
(Choose]
y-intercept
[Choose )
vertex
[Choose |

Expert Solution

Step 1

Given data:

The quadratic equation is given by

$y = 2 x^{2} + 7 x - 4$ ......(1)

The quadratic equation in vertex form is given by

$y = a {(x - h)}^{2} + k$ ......(2)

Step 2

Write the equation (1) in vertex form,

$y = 2 x^{2} + 7 x - 4 y = 2 (x^{2} + \frac{7}{2} x) - 4 y = 2 (x^{2} + \frac{7}{2} x + \frac{49}{16}) - 4 - \frac{49}{8} y = 2 {(x + \frac{7}{4})}^{2} - \frac{81}{8} . . . . . (3)$

Comparing the equation (2) and (2), we get

$(h, k) = (- \frac{7}{4}, - \frac{81}{8})$

Therefore, the vertex are $(h, k) = (- \frac{7}{4}, - \frac{81}{8})$

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