X and Y Intercept Practice

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Question 2
Find the all the x-intercepts and y-intercept for the quadratic graph below:

              
Find all the intercepts in the quadratic graph

Answer

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A. y-intercept: -4  &  x-intercepts: -2 and 2
B. y-intercept: -2  &  x-intercept  : 2 only 
C. y-intercept: 4   &  x-intercept  : -2 only
D. y-intercept: 2   &  x-intercepts : 4 and -4 
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Step by Step Solution 

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Step 1
The purpose of this question is to show you that the ideas behind x and y intercepts are also applicable to non-linear equations.

First, let's find the y-intercept. From the picture, we can see that the graph crosses the y-axis at the y-coordinate of -4.

Hence, the y-intercept is -4.

y-intercept in the quadractic graph
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Step 2
Next, let's find the x-intercept. From the picture, we can see that the graph crosses the x-axis at the x-coordinates of -2 and 2.

Hence, the x-intercepts are -2 and 2. 
x-intercepts in the quadractic graph
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Step 3
Now, we have the:
  1. y-intercept = -4
  2. x-intercepts = -2 and 2
Clearly, the answer is A.
           
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