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a. Sketch the graph of $y=x^{2}+6 x+2$b. From the graph, estimate the roots of the function to the nearest tenth.c. Use the quadratic formula to find the exact values of the roots of the function.d. Express the roots of the function to the nearest tenth and compare these values to your estimate from the graph.

a) See graphb) $x=-0.4$ and $x=-5.6$c) $x=-3 \pm \sqrt{7}$d) $x \approx-0.4$ and $x \approx-5.6$

Algebra

Chapter 5

QUADRATIC FUNCTIONS AND COMPLEX NUMBERS

Section 2

The Quadratic Formula

Equations and Inequalities

Quadratic Functions

Complex Numbers

Polynomials

Missouri State University

Campbell University

McMaster University

Lectures

01:32

In mathematics, the absolu…

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02:21

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(a) Graph the equation $y=…

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A. Estimate the solution o…

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02:44

A quadratic function is gi…

00:46

a. Graphing Calculator wri…

02:59

CONCEPTSA. Estimate th…

in part a here were asked to sketch the graph of y equals X squared, plus six experts to So that's what we have here on this left side, Part B. We want to, from the graph, estimate the routes off the function to the nearest 10th. Well, we're given that our zeros are what X is equal to negative five 0.6 and when X is equal to negative 0.35 Which rounds is your point for enough apart. See, we want to use a cart track formula to find the exact LA leaves, so we have negative P post minus the square room, but B squared minus four a. C. Divide up a to A. This is equal to negative six plus minus discovered of 28 over to or night of six plus minus two. Route 7/2. Because you contend that your three plus minus root seven now in part do you? We want to express the roots of the function to the nearest 10th and compare these values with estimates so negative three plus Route seven. This approximately equal to negative 0.4 and negative three minus 37 is approximately equal to negative 5.6. And as you can see, these were exactly the same numbers that we estimated up here.

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