The graph of a quadratic function
1 answer:
Answer:
A
The leading coefficient is negative.
Step-by-step explanation:
Quadratic equation:
A quadratic equation has the following format:
The leading coefficient is a.
a negative:
The graph of the function is concave down, that is, it displays values that approach negative infinity.
a positive:
The graph of the function is concave up, that is, it displays values that approach up infinity.
In this question:
Displays values that approach negative infinity, so the leading coefficient is negative, and the correct answer is given by option A.
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9514 1404 393
Answer:
(x, y) = (-6, 15) and (2, -1)
Step-by-step explanation:
You can start by subtracting the second equation from the first.
(y) -(y) = (x^2 +2x -9) -(-2x +3)
0 = x^2 +4x -12 . . . . . . collect terms
0 = (x +6)(x -2) . . . . . . . factor
Solutions for x are -6 and +2. These values make the factors zero.
The corresponding solutions for y are ...
y = -2(-6) +3 = 15
y = -2(2) +3 = -1
Solutions to the system of equations are ...
(x, y) = (-6, 15) and (2, -1)
