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Chapter 10: Q. 202 (page 1231)

Find the maximum or minimum value ofy=x2-49

Short Answer

Expert verified

The minimum value of the quadratic is 鈭�49 and it occurs when x = 0 .

Step by step solution

01

Step 1. Given Information 

y=x2-49

02

Step 2. Determining the type of parabola 

As value of a is positive, therefore it is a upward parabola.

Hence, it has a minimum value.

03

Step 3. Finding axis of symmetry.

x=-b2aasb=0,x=0

Therefore, axis of symmetry : x = 0.

04

Step 4. Vertex of parabola

ywhenx=0y=x2-49=(0)2-49=-49

Therefore vertex : (0,-49)

05

Step 5. Minimum value

Since the parabola has a minimum, the y-coordinate of the vertex is the

minimum y-value of the quadratic equation.

The minimum value of the quadratic is 鈭�49 and it occurs when x = 0 .

06

Step 6. Graph 

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