Question

How many roots do u thinn

Answer 1

• 2 roots
• 1 root

Explanation:

Each equation is in vertex form, so you can easily determine the number of real roots. The leading coefficient tells you whether the parabola opens upward (positive) or downward (negative).

y = a(x -h)^2 +k

has leading coefficient "a" and vertex (h, k).

__

f(x) = 1/3(x +5)^2 +7

vertex: (-5, 7), opens downward

The vertex is above the x-axis, so there are two real roots.

__

f(x) = -5(x -3)^2

vertex: (3, 0), opens downward

The vertex is on the x-axis, so there is one real root.