Find the vertex of the parabola. y= -4x^2+24x-35 Answer ASAP
2 answers:
Answer:
vertex = (3, 1 )
Step-by-step explanation:
Given a parabola in standard form : ax² + bx + c : a ≠ 0
The x- coordinate of the vertex is
= -
y = - 4x² + 24x - 35 ← is in standard form
with a = - 4 and b = 24, thus
= -
= 3
Substitute x = 3 into the equation for corresponding value of y
y = - 4(3)² + 24(3) - 35 = - 36 + 72 - 35 = 1
Vertex = (3, 1 )
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The graph is missing, so i have attached it;
Answer:
Constant of proportionality = 0.75
Step-by-step explanation:
From the graph attached, we are given 3 coordinate points of (x, y) namely;
(120, 90), (250, 187.5), (400, 300)
Now, constant of proportionality for each coordinate point is simply;
k = y/x
Thus, for first coordinate point (120, 90),
k1 = 90/120
k1 = 0.75
For 2nd coordinate point (250, 187.5),
k2 = 187.5/250
k2 = 0.75
For third coordinate point (400, 300),
k3 = 300/400
k3 = 0.75
From each of the 3 points, we can see the constant of proportionality is the same and equal to 0.75.
