Answer:
f(x)=(x−5)2−16
Set the polynomial equal to y
to find the properties of the parabola.
y=(x−5)2−16
Use the vertex form, y=a(x−h)2+k
, to determine the values of a, h, and k
.
a=1
h=5
k=−16
Since the value of a
is positive, the parabola opens up.
Opens Up
Find the vertex (h,k)
.
(5,−16)
Find p
, the distance from the vertex to the focus.
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14
Find the focus.
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(5,−634)
Find the axis of symmetry by finding the line that passes through the vertex and the focus.
x=5
Answer:
x > -1 or x < -9
Step-by-step explanation:
(x + 5)^2 must be > 16 for f(x) to be positive.
(x + 5)^2 > 16
Taking square roots:-
x + 5 > 4
x > -1 (answer)
or x + 5 < -4
x < -9 (answer)
