Question

For the given equation, find the values of a, b, and c, determine the direction in which the parabola opens, and

determine the y-intercept. Decide which table best illustrates these values for the equation:
f(x) = 9x^2 + 5x + 3

Answer 1

Table (C)

Explanation:

Given equation of the parabola is,

f(x) = 9x² + 5x + 3

By comparing this equation with,

f(x) = ax² + bx + c

a = 9, b = 5 and c = 3

Since, leading coefficient (a) of the function is positive,

Parabola will open upwards.

For y-intercept,

Substitute x = 0 in the equation,

f(0) = 9(0)² + 5(0) + 3

f(0) = 3

Therefore, y-intercept is (0, 3).

Table (C) is the answer.