Question

The fragment of a function given by the formula y = ax ^ 2 passes through the points of the coordinate plane (-3; 18) and (1; c). Find c

Answer 1

c = 2

Explanation:

The points (- 3, 18 ) and (1, c ) lie on the graph and therefore make the equation true.

Substitute (- 3, 18 ) into the equation

18 = a(- 3)² = a × 9 = 9a ( divide both sides by 9 )

2 = a , then

y = 2x² ← is the equation of the parabola

Substitute (1, c ) into the equation

c = 2(1)² = 2 × 1 = 2