Question

Write an equation for the parabola in intercept form and vertex form

Answer 1

Solution.

Equation:

y = a(x-p)(x-q)----------------(1)

from the given graph

(-1,0) (2,0)

p = -1 and q = 2

Also form (0.5, -4.5)

x = 0.5, y = -4.5

So I will substitute the value of p and q into equation 1

y = a(x-p)(x-q)

y = a(0.5- -1)(0.5-2)

-4.5 = a(0.5+1)(-1.5)

-4.5 = a(1.5)(-1.5)

-4.5 = a x -2.25

a = -2.25/-4.5

a = 0.5

Substitute a into equation 1

y = 0.5(x-p)(x-q)

y = 0.5(x--1)(x-2)

y = 0.5(x+1)(x-2)

`y\text{ =}(1)/(2)(x+1)(x-2)`