Determine the axis of symmetry for the function f(x) = −4(x + 7)2 − 3.
1 answer:
Answer:
x = -7
Step-by-step explanation:
The vertex form of this equation tells us it is a downward-opening parabola with its vertex at (-7, -3). The line of symmetry is the vertical line through the vertex: x = -7.
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Vertex form is ...
y = a(x -h) +k
where a is the vertical expansion factor, and (h, k) is the vertex. When a < 0, the parabola opens downward. When a > 0, it opens upward. (When a=0, the "parabola" is a horizontal line at y=k.)
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EXPLANATION
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We multiply out the numerators and denominators using the distributive property to obtain,
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EXPLANATION
The given fraction is,
To get an equivalent fraction, we multiply both the numerator and the denominator by the same quantity that will give us
w²+w-20
in the denominator.
This implies that,
We multiply out the numerators and denominators using the distributive property to obtain,
This simplifies to