# What is the equation of the parabola that has a vertex at # (2, 5) # and passes through point # (1,-1) #?

##### 2 Answers

#### Explanation:

Assume the parabola opening downward because, the additional point is below the Vertex

Given Vertex at

Solve for

Using Vertex form

Use now Vertex form

kindly check the graph

graph{y=-6x^2+24x-19[-25,25,-12,12]}

The equation of paqrabola is

#### Explanation:

The equation o0f the parabola is

Now putting the value of a in the equation of parabola we get

graph{-6*x^2+24*x-19 [-10, 10, -5, 5]} [Answer]