Question

Use the graph to write an equation for the parabola. (Hard one)

Answer 1

Answer:

  y = (10/9)x^2

Step-by-step explanation:

The vertex is at (0, 0), so the parent function is y=x^2 with no vertical or horizontal translation. A vertical scale factor can be used to make the graph go through the given points.

For x=3, the parent function gives ...

  y = 3^2 = 9

The actual value you want is 10, so is a factor of (10/9) times the value you have. That is ...

  10 = (10/9)×9

Applying this scale factor to the parent function gives you ...

  y = (10/9)x^2