Algebra 2
Algebra 2
1st Edition
ISBN: 9780078884825
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Chapter 3.4, Problem 49STP
To determine

To calculate: The x -intercept and the y -intercept of the equation y=4x2 and graph of the equation.

Expert Solution & Answer
Check Mark

Answer to Problem 49STP

The x-intercept is 12 and y-intercept is 2 and graph of the equation is,

  Algebra 2, Chapter 3.4, Problem 49STP , additional homework tip  1

Explanation of Solution

Given information:

The equation y=4x2 .

Formula used:

The ordinate of a point that cuts y-axis on the graph is called y-intercept and the abscissa of a point that cuts x-axis is called x-intercept.

Calculation:

Consider the provided equation y=4x2 .

Recall that the ordinate of a point that cuts y-axis on the graph is called y-intercept and the abscissa of a point that cuts x-axis is called x-intercept.

Substitute x=0 in the equation y=4x2 as,

  y=4x2y=4(0)2y=2

The value of y-intercept is 2 .

Substitute y=0 in the equation y=4x2 as,

  y=4x20=4x24x=2x=12

The value of x-intercept is 12 .

So, the points are (12,0) and (0,2) .

Now, use the points to graph the equation y=4x2 as,

  Algebra 2, Chapter 3.4, Problem 49STP , additional homework tip  2

Thus, the x-intercept is 12 and y-intercept is 2 and graph of the equation is,

  Algebra 2, Chapter 3.4, Problem 49STP , additional homework tip  3

Chapter 3 Solutions

Algebra 2

Ch. 3.1 - Prob. 2CYUCh. 3.1 - Prob. 3CYUCh. 3.1 - Prob. 4CYUCh. 3.1 - Prob. 5CYUCh. 3.1 - Prob. 6CYUCh. 3.1 - Prob. 7CYUCh. 3.1 - Prob. 8CYUCh. 3.1 - Prob. 9CYUCh. 3.1 - Prob. 10CYUCh. 3.1 - Prob. 11CYUCh. 3.1 - Prob. 12CYUCh. 3.1 - Prob. 13PPSCh. 3.1 - Prob. 14PPSCh. 3.1 - Prob. 15PPSCh. 3.1 - Prob. 16PPSCh. 3.1 - Prob. 17PPSCh. 3.1 - Prob. 18PPSCh. 3.1 - Prob. 19PPSCh. 3.1 - Prob. 20PPSCh. 3.1 - Prob. 21PPSCh. 3.1 - Prob. 22PPSCh. 3.1 - Prob. 23PPSCh. 3.1 - Prob. 24PPSCh. 3.1 - Prob. 25PPSCh. 3.1 - Prob. 26PPSCh. 3.1 - Prob. 27PPSCh. 3.1 - Prob. 28PPSCh. 3.1 - Prob. 29PPSCh. 3.1 - Prob. 30PPSCh. 3.1 - Prob. 31PPSCh. 3.1 - Prob. 32PPSCh. 3.1 - Prob. 33PPSCh. 3.1 - Prob. 34PPSCh. 3.1 - Prob. 35PPSCh. 3.1 - Prob. 36PPSCh. 3.1 - Prob. 37PPSCh. 3.1 - Prob. 38PPSCh. 3.1 - Prob. 39PPSCh. 3.1 - Prob. 40PPSCh. 3.1 - Prob. 41PPSCh. 3.1 - Prob. 42HPCh. 3.1 - Prob. 43HPCh. 3.1 - Prob. 44HPCh. 3.1 - Prob. 45HPCh. 3.1 - Prob. 46HPCh. 3.1 - Prob. 47HPCh. 3.1 - Prob. 48HPCh. 3.1 - Prob. 49HPCh. 3.1 - 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