Answer
Y Intercept: (0,9)
X intercept: None
Vertex: (2, 1)
Work Step by Step
Y intercept:
F(x)= 2X^2 – 8x + 9
F(0)= (0)x^2 – 8(0) +9
F(0)= 0 – 0 + 9
F(0) = 0 + 9
F(0) = 9
(0,9)
There is no x intercept because the equation can not be factored.
Vertex:
X= -B/2a
2x^2 – 8x + 9
Find your A, B, and C values. For this equation, A=2, B= -8, and C= 9
-(-8)/2(2)
X = 8/4
X = 2
Y= 2(2)^2 – 8(2) + 9
Y = 4^2 – 8(2) + 9
Y = 8 – 16 + 9
Y= -8 + 9
Y = 1
(2, 1)