Question

a. Write an equation compared to the equation of the standard parabola that satisfies the description of each parabola.

1. A parabola whose vertex is (0, -3)

2. A parabola whose vertex is (5, 1)

3. A parabola that opens down and is compressed vertically by a factor of 0.4

4. A parabola that has its vertex at (3, 5) and opens down.

5. A parabola that has its vertex at (-8, 6) and opens up, but is stretched vertically by a factor of 3, compared with the standard parabola.

Answer 1

#1: y = x^2-3
#2: y = (x-5)^2+1
#3: y = -0.4x^2
#4: y = -(x-3)^2-5
you get the idea... I hope

Answer 2

Thank you Anonymous.

Answer 3

To Nameless:
In case you have not yet verified, the fourth one should read
y = -(x-3)^2 + 5
in order to have the vertex at (3,5).
Suggest you post your attempt for the fifth.