F(X)=22124x, 2, +12x22129, What Is The Value Of The Discriminant Of Ff?, How Many Xx-Intercepts Does The Graph Of Ff Have?

F(x)=−4x

2
+12x−9
What is the value of the discriminant of ff?

How many xx-intercepts does the graph of ff have?

 

What is the value of the discriminant of f(x) = − 4x²  + 12x − 9?

a = - 4

b = 12

c = - 9

b² - 4ac

12² - 4 (- 4) (- 9)

144 - 144

0

Discriminant ⇒ 0

*Having a discriminant of zero means that there are two real and identical roots. This means that theres only one x - intercept and the graph will cross the x - axis only once.

How many x-intercept(s) does the graph of f(x) = − 4x²  + 12x − 9 have?

y = 0

f(x) = - 4x² + 12x - 9

y = - 4x² + 12x - 9

0 = - 4x² + 12x - 9

0 = (2x - 3) (- 2x + 3)

x = 3/2 or 1.5

x - intercept ⇒ (1.5, 0)

^_^


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