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3241004551 [841]
2 years ago
9

What are the coordinates of the vertex of the parabola described by the equation below? y=7(x+5)^2-4

Mathematics
1 answer:
Ipatiy [6.2K]2 years ago
4 0

Answer:

y= 7(x+5)^2 -4

The vertex form for a parabola is given by this expression:

y = a(x-h)^2 +k

By direct comparison we see that for this case:

a = 7, h = -5 and k=-4

And we know from the general expression that the vertex is:

V= (h,k)

So then the vertex for this case is:

V= (-5,-4)

Step-by-step explanation:

For this case we have the following function:

y= 7(x+5)^2 -4

And we need to take in count that the vertex form for a parabola is given by this expression:

y = a(x-h)^2 +k

By direct comparison we see that for this case:

a = 7, h = -5 and k=-4

And we know from the general expression that the vertex is:

V= (h,k)

So then the vertex for this case is:

V= (-5,-4)

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#9 was the the one I need help with anyone plz help Thank You:)
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you can put anything in that function. let say k.
f(x=k) = -2k+1. you just replace the x with k.
in this particular problem they way f(-2) ,f(0), f(1) and f(2).
here are the results
f(x=-2) = f(-2) = -2×(-2)+1 =5
f(x=0) = f(0) = -2×(0)+1 =1
f(x=1) = f(1) = -2×(1)+1 =-1
f(x=2) = f(2) = -2×(2)+1 =-3
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3 years ago
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\\ \rm\rightarrowtail s=\dfrac{1.8+2.4+3}{2}

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Apply heron s formula

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\\ \rm\rightarrowtail \sqrt{s(s-a)(s-b)(s-c)}

\\ \rm\rightarrowtail \sqrt{3.6(3.6-1.8)(3.6-3)(3.6-2.4)}

\\ \rm\rightarrowtail \sqrt{3.6(1.8)(0.6)(1.2)}

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\\ \rm\rightarrowtail 2.16cm^2

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Answer:

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The similar figures are the rectangles in figures 2, and 5

Step-by-step explanation:

The given figure is a rectangle with dimensions of 3 yd. by 9 yd., therefore the length = 3 × The width of the rectangle

1) The 9 yd. by 18 yd. figure is a rectangle with the length = 2 × The width of the rectangle, therefore, the figure is not similar to the given rectangle

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3) The figure is a trapezium, while the given figure is a rectangle, therefore, they are not similar

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6) The 2 yd. by 8 yd. figure is a rectangle with the length = 4 × The width of the rectangle, therefore, the figure is not similar to the given rectangle

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