Answer:
The function has two x-intercepts.
The vertex of the function is (one-quarter, negative 6 and one-eighth).
Step-by-step explanation:
Given that the vertex is located at (0.25, -6) and the parabola opens up, the function has two x-intercepts.
f(x) = 2x² - x - 6 has the following coefficients:
a = 2
b = -1
c = -6
x-coordinate of the vertex is:
x = -b/(2a)
x = 1/(2*2) = 1/4
y-coordinate of the vertex is:
f(1/4) = 2(1/4)² - 1/4 - 6 = -6 1/8
Multiply. Distribute 3x to all terms in the parenthesis: x and -8
3x(x) = 3x²
3x(-8) = -24x
3x² - 24x is your answer
hope this helps
You didn’t attach a photo can you tell me if there were numbers