F(x)=-4x2+12x-9
What is the value of the discriminate of f?

How many x-intercepts does the graph of f have?

The discriminant of a quadratic is the expression inside the radical of the quadratic formula. b-4(ac)

Substitute in the values of a, b, and c

12- 4 (-4 .-9)

Simplify each term.

Raise 12 to the power of 2

144 - 4 (-4 .-9)

Multiply -4 by -9

144-4 x 36

subtract 144-44

what are you trying to solve here

step-by-step explanation:

step-by-step explanation:

we have

using a graphing tool

see the attached figure

this is a quadratic equation (vertical parabola) open up

the vertex is a > vertex

the domain of the function is all real > interval (-∞,∞)

the range of the function is the > [-6.125,∞)

the function has two x->   and

the function is increasing over the > (0.25,∞)

the function is decreasing over the > (-∞,0.25)