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 |

Answered: Graph the quadratic function y = 2x? +…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Related questions

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

Step by step

Solved in 3 steps

Similar questions

The zeros of a quadratic function are 1/2 and -3. The y-intercept of the quadratic function is -4. Sketch the graph of the quadratic function based on the given information.
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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 |