Match the expression on the left with its simplified form on the right. Answer options on the right may be used more
1 answer:
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Answer:
B) (−1, 3)
Step-by-step explanation:
The standard form of a quadratic function is
y = ax² + bx + c
The vertex form of a parabola is
y = a(x - h)² + k
where (h, k) is the vertex of the parabola.
h = -b/(2a) and k = f(h)
In your equation, ƒ(x) = −3x² − 6x
a = -3; b = -6; c = 0
Calculate h
h = -(-6)/2(-3)]
h = 6/(-6)
h = -1
Calculate k
k = -3(-1)² -6(-1)
k = -3 + 6
k = 3
So, h = -1, k = 3, a = -3
The vertex form of the equation is f(x) = -3(x + 1)² + 3.
The vertex is at (-1, 3).
The figure below shows the graph of ƒ(x) = −3x² − 6x with the vertex
at (-1, 3).
Answer:
Option C) y + 4 = x
Step-by-step explanation:
We are given the following information in the question:
Line AB goes through the points A (0, –4) and B (6, 2).
We can use the two-point form of equation of straight line.
The equation of line is given by:
where, is the point through which the line passes.
The equation of line is:
Thus, the equation of line AB is given by Option C) y + 4 = x