The graph of a parabola passes through the points (3/2,4/3) and (0,−6) and has a horizontal tangent line at (3/2,4/3). Find an equation for the parabola and sketch its graph.

5sqrt2, 10sqrt2/2

Step-by-step explanation:

The isosceles triangle, or 45-45-90 rule states that the hypotenuse is x × square root of 2.

Divide the hypotenuse, 10, by sqrt 2 to get 5sqrt2

However , if you're looking to keep it in fraction form, you will need to rationalize the denominator. Multiply the numerator and denominator to get the fraction, 10sqrt2/2