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What is the axis of symmetry of y=(x-2)²+3

User CentAu
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2 Answers

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Answer:

hope this helps

What is the axis of symmetry of y=(x-2)²+3-example-1
What is the axis of symmetry of y=(x-2)²+3-example-2
What is the axis of symmetry of y=(x-2)²+3-example-3
What is the axis of symmetry of y=(x-2)²+3-example-4
User Jpobst
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6 votes

Answer:x=2

Explanation:

Use the vertex form, y(x-h)^2+k, to determine the values of a, h, and k.

a=1

h=2

k=3

Since the value of a is positive, the parabola opens up.

Find the vertex (h,k).

(2,3)

Find p, the distance from the vertex to the focus.

Find the distance from the vertex to a focus of the parabola by using the following formula.

1/4a

Substitute the value of a into the formula.

1/4*1

Cancel the common factor of 1.

1/4

Find the focus.

The focus of a parabola can be found by adding p to the y-coordinate k if the parabola opens up or down.

(h,k+p)

Substitute the known values of h, p, and k into the formula and simplify.

(2, 13/4)

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

x=2

User Jaygeek
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