Question

What is the equation of the graph below?
y = − (x − 2)2 + 3
y = (x + 2)2 + 3
y = − (x + 3)2 + 2
y = (x − 3)2 + 2

Answer 1

Step-by-step explanation:

Algebra Examples

Popular Problems Algebra Graph y=(x-2)^2-3

y

=

(

x

−

2

)

2

−

3

Find the properties of the given parabola.

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Direction: Opens Up

Vertex:

(

2

,

−

3

)

Focus:

(

2

,

−

11

4

)

Axis of Symmetry:

x

=

2

Directrix:

y

=

−

13

4

Select a few

x

values, and plug them into the equation to find the corresponding

y

values. The

x

values should be selected around the vertex.

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x

y

0

1

1

−

2

2

−

3

3

−

2

4

1

Graph the parabola using its properties and the selected points.

Direction: Opens Up

Vertex:

(

2

,

−

3

)

Focus:

(

2

,

−

11

4

)

Axis of Symmetry:

x

=

2

Directrix:

y

=

−

13

4

x

y

0

1

1

−

2

2

−

3

3

−

2

4

1

image of graph

Answer 2

Step-by-step explanation:

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