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Which quadratic function in vertex form has a vertex at (-2, 5) And passes through the point (2, -3)?

Which quadratic function in vertex form has a vertex at (-2, 5) And passes through-example-1
User Jishad P
by
2.9k points

1 Answer

6 votes

Answer:graph{-19/9(x+3)^2+5 [-10, 2, -20, 10]}

Step-by-step explanation:

y

=

19

9

(

x

+

3

)

2

+

5

Step-by-step explanation:

If an equation representing a parabola is in vertex form such as

y

=

a

(

x

k

)

2

+

h

then its vertex will be at

(

k

,

h

)

. Therefore the equation for a parabola with a vertex at (-3, 5), will have the general form

y

=

a

(

x

+

3

)

2

+

5

If this parabola also passes through the point

(

0

,

14

)

then we can determine the

a

parameter.

14

=

a

(

0

+

3

)

2

+

5

9

a

=

19

a

=

19

9

So our equation in vertex form is

y

=

19

9

(

x

+

3

)

2

+

5

graph{-19/9(x+3)^2+5 [-10, 2, -20, 10]}

User Jmurzy
by
3.1k points