Answer:
y = - [tex]\frac{2}{5}[/tex] (x - 5)² + 7
Step-by-step explanation:
The equation of a quadratic 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 ) = (5, 7 ) , then
y = a(x - 5)² + 7
To find a substitute (10, - 3 ) into the equation
- 3 = a(10 - 5)² + 7 ( subtract 7 from both sides )
- 10 = 5²a = 25a ( divide both sides by 25 )
[tex]\frac{-10}{25}[/tex] = a , that is
a = - [tex]\frac{2}{5}[/tex]
y = - [tex]\frac{2}{5}[/tex] (x - 5)² + 7 ← in vertex form
