Chapter 11: Q. 312 (page 1159)

In the following exercises, solve the system of equations by using graphing.
$y = x^{2} - 4 y = x - 4$

Short Answer

Expert verified

Intersection of both equations are

(0,-4) and (1,-3)

Step by step solution

Given Information

Given system of equations

$y = x^{2} - 4 y = x - 4$

Graph the first equation

The given equation is

$y = x^{2} - 4 x - c o o r d i n a t e o f v e r t e x x = \frac{- b}{2 a} x = \frac{- 0}{2 (1)} = 0 x = 0 y = {(0)}^{2} - 4 = - 4 v e r t e x (0, - 4)$

The value of a=1, a is positive. so the graph of parabola goes up .

y intercept is (0,-4)

To find x intercept , replace y with 0

$0 = x^{2} - 4 4 = x^{2} x = \pm 2$

x intercepts are (-2,0) and (2,0)

Now graph the parabola

Graph the second equation

find x and y intercepts

$y = x - 4 x = 0 y = 0 - 4 y = - 4 y i n t e r c e p t (0, - 4) y = 0 0 = x - 4 x = 4 x i n t e r c e p t (4, 0)$

Graph the x and y intercepts in the same plane

Graph of system of equations

Graph of both equations

Intersection of both equations are

(0,-4) and (1,-3)

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In the following exercises, solve the system of equations by using graphing.
$y = x^{2} - 4 y = x - 4$

Short Answer

Step by step solution

Given Information

Graph the first equation

Graph the second equation

Graph of system of equations

One App. One Place for Learning.

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In the following exercises, solve the system of equations by using graphing.y=x2-4y=x-4

Short Answer

Step by step solution

Given Information

Graph the first equation

Graph the second equation

Graph of system of equations

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Pure Maths

Decision Maths

Calculus

Applied Mathematics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

In the following exercises, solve the system of equations by using graphing.
$y = x^{2} - 4 y = x - 4$