It is the blue one. By doing the vertex formula we can see the x value of the vertex is -3/4. The blue one best represents that as the negative A value shows the parabola will be facing down too and have a maximum not a minimum for the vertex
Answer:
the Answer is D
Step-by-step explanation:
The sign of the product would be the postitive sign because all three integers have the same sign.
Answer:
y = 3x² + 54x + 240
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
here (h, k) = (- 9, - 3), thus
y = a(x + 9)² - 3
To find a substitute either of the roots into the equation
Using (- 8, 0), then
0 = a(- 8 + 9)² - 3
0 = a - 3 ( add 3 to both sides )
a = 3
y = 3(x + 9)² - 3 ← in vertex form
Expand factor and simplify
y = 3(x² + 18x + 81) - 3
= 3x² + 54x + 243 - 3
= 3x² + 54x + 240 ← in standard form
