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DWilson1234
02.02.2020 •
Mathematics
Which equation when graphed has a maximum value at x = −2? a) y = −x2 − 20x − 16, b) y = −x2 − 16x − 12, c) y = −4x2 − 20x − 16, d) y = −4x2 − 16x − 12
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Ответ:
Option D.![y=-4x^{2} -16x-12](/tpl/images/0494/1278/d7cdf.png)
Step-by-step explanation:
using a graphing tool
Graph and determine the vertex in each case
we know that
If the equation has a maximum value at x=-2, then the x-coordinate of the vertex must be equal to -2 and the parabola open downward
case A)![y=-x^{2} -20x-16](/tpl/images/0494/1278/00a1e.png)
The vertex is the point![(-10,84)](/tpl/images/0494/1278/fd9ee.png)
case B)![y=-x^{2} -16x-12](/tpl/images/0494/1278/19cbe.png)
The vertex is the point![(-8,52)](/tpl/images/0494/1278/13616.png)
case C)![y=-4x^{2} -20x-16](/tpl/images/0494/1278/6b782.png)
The vertex is the point![(-2.5,9)](/tpl/images/0494/1278/06c51.png)
case D)![y=-4x^{2} -16x-12](/tpl/images/0494/1278/d7cdf.png)
The vertex is the point
-------> is the answer
see the attached figure
Ответ:
fuск fuск fuск
Step-by-step explanation:
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