Answer:
A) x intercept: <em>(2, 0) , (-2, 0)</em>
y intercept: <em>(0, 16)</em>
B) symmetric about y axis
Step-by-step explanation:
Given the function:
To find:
Algebraically, A) find the x and y intercepts and B) the symmetry type.
Solution:
A) x intercept, let us put y = 0
x intercept: <em>(2, 0) , (-2, 0)</em>
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For y intercept, put x = 0
y = 16 - 0 =16
y intercept: <em>(0, 16)</em>
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B) If the quadratic equation is given as: ,
the axis of symmetry is a vertical line
Here, c = 16
b = 0 and
a = -4
So, Axis of symmetry is:
which is the equation of y axis.
So, given equation is symmetric about y axis.