Find the vertex of the graph of f(x) = x2 + 4x - 5.
1 answer:
You can solve this in two ways.
1. Graphical. Plot the graph for x between -5 and 1 (see attachement).
The vertex of the graph is the peak of the curve, which has the coordinates x=-2, y=-9.
2. Analytical. Calculate the derivative of the function f(x)
Solve the equation:
will give the solution x=-2.
Replace x=-2 in the f(x) function and you'll get the value of y:
You get the same answer: x=-2, y=-9
So the answer is
<span>B. (-2, -9)</span>
1. Graphical. Plot the graph for x between -5 and 1 (see attachement).
The vertex of the graph is the peak of the curve, which has the coordinates x=-2, y=-9.
2. Analytical. Calculate the derivative of the function f(x)
Solve the equation:
will give the solution x=-2.
Replace x=-2 in the f(x) function and you'll get the value of y:
You get the same answer: x=-2, y=-9
So the answer is
<span>B. (-2, -9)</span>
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Answer:
Step-by-step explanation:
2x² + 5x + 3 = (x + 1) (2x + 3)
x² + 2x + 1 = (x + 1) (x + 1)
(x + 1) cancels out because there is one in the denominator and the numerator, leaving you with the answer.
Hope this helps!