Concept explainers
To Select: The right option which is not same as others and find the value for both.
Answer to Problem 2E
The last option is the different one.
The axis of symmetry is
The maximum value of the function is 32.
Explanation of Solution
Given information: The quadratic function
Formula used: x coordinate of vertex is
Calculation:
Let’s analyze each option.
When it says the maximum value of a function, it represents the y-coordinate of vertex which is ‘ k’ .
For open down parabola the greatest range is the y-coordinate of the vertex, which is ‘ k’
The third option direction says y-coordinate of vertex ‘ k’ .
The last option says the x coordinate of vertex ‘ h’ that would be our axis of symmetry.
So, last option is the different one.
Let’s find both answers.
x coordinate of vertex h =
From the function
Plug in these values into the formula,
Substitute back x as 2 into f(x) which gives value for k .
The axis of symmetry is
The maximum value of the function is 32.
Chapter 8 Solutions
BIG IDEAS MATH Algebra 1: Common Core Student Edition 2015
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