Find, in the form , the quadratic function whose…

MATHEMATICS · Multi-part · CBSE · Mathematics · Quadratic Equations · Quadratic Equations

Problem

Find, in the form

y = ax^2 + bx + c

, the quadratic function whose graph: (1) touches the

x

-axis at 3 and passes through (2, 2) (2) has

x

-intercepts 3 and

-2

, and

y

-intercept 3 (3) passes through

(-1, -9)

(1, 5)

, and

(2, 15)

(4) has vertex (3, 15) and passes through the point (1, 7).