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1 vote
Acellus

Find the equation of the axis of
symmetry for this function.
f(x) = 4x² - 8x + 5
-b
Hint: To find the axis of symmetry, use the equation: x =
2a
Simplify your answer completely. Enter
the number that belongs in the green box.
x = [?]

User Mpcabd
by
7.1k points

1 Answer

7 votes

Answer:Rewrite the equation in vertex form.

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y

=

4

(

x

1

)

2

9

Use the vertex form,

y

=

a

(

x

h

)

2

+

k

, to determine the values of

a

,

h

, and

k

.

a

=

4

h

=

1

k

=

9

Since the value of

a

is positive, the parabola opens up.

Opens Up

Find the vertex

(

h

,

k

)

.

(

1

,

9

)

Find

p

, the distance from the vertex to the focus.

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1

16

Find the focus.

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(

1

,

143

16

)

Find the axis of symmetry by finding the line that passes through the vertex and the focus.

x

=

1

Explanation:

User Llama
by
7.9k points