Use vertex form to write the equation of the parabola.

y = - 2(x - 2)² - 3

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (2, - 3) , thus

y = a(x - 2)² - 3

To find a substitute (1, - 5) a point on the curve into the equation

- 5 = a(1 - 2)² - 3

- 5 = a - 3 ⇒ a = - 5 + 3 = - 2

y = - 2(x - 2)² - 3 ← equation in vertex form

graph them on a graphing calculator, press 2nd trace. select intersect. hit enter until it says answer. ti 84 works best

step-by-step explanation: