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Vikki [24]
3 years ago
10

suppose a parabola has an axis of symmetry at x=-2, a maximum height of 8, passes through the point (-6, 2). Wrire the equation

of the parabola in vertex form.
Mathematics
1 answer:
Virty [35]3 years ago
3 0

Answer:

y = -3/8(x + 2)^2 + 8

Step-by-step explanation:

vertex form is

y = a(x - b)^2 + c     where a is a constant and (b,c) is the vertex.

The maximum is at (-2, 8)  because x 8 = height and x =-2 is equn. of symmetry

So here we have

y = a(x - (-2))^2 + 8

y = a(x + 2)^2 + 8

Now at the point (-6, 2):

2 = a(-6+2)^2 + 8

2 = 16a + 8

16a = -6

1 = -3/8.

So our equation is y = 3/8(x + 2)^2 + 8

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Find g(4x)<br> g(x)=x²-4
7nadin3 [17]

Answer:

g(x) = x² - 4 is already in form of a variable, I.e., x

g(4x) takes another variable, I.e., 4x

Same as before, 4x takes over x:

=> g(4x) = (4x)² - 4

  • <em>(</em><em>ax</em><em>)</em><em>²</em><em> </em><em>=</em><em> </em><em>a</em><em>²</em><em>x</em><em>²</em><em>,</em><em> </em><em>where</em><em> </em><em>a</em><em> </em><em>is</em><em> </em><em>some</em><em> </em><em>arbitrary</em><em> </em><em>constant</em><em>.</em><em> </em>

<h3><u>Answer</u><u>:</u> </h3>

=> g(4x) = 16x² - 4

OR

=> g(4x) = 4{4x² - 1}

3 0
2 years ago
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Find The Slope of a line parallel to x-y=16
Lorico [155]
-y = -x + 16
y = x - 16
Slope = 1
7 0
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Your cell phone plan costs $44.99 per month. You also pay 20% in taxes and fees. What is your bill after taxes and fees?
katen-ka-za [31]
So the total bill will be 44.99 + 20% of 44.99 or the total bill (x) will equal 44.99 + .20 × 44.99

x = 44.99 + (.20)44.99
x = 44.99 + 9.00
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*note- .20(44.99) = 8.998 which rounds to $9.00
4 0
3 years ago
A man gave half of his welfare allowance to his wife,1/5 to each of his two sons the rest to his daughter. Find the fraction giv
vichka [17]

Answer:

1/10.

Step-by-step explanation:

Total allowance=1

Half to wife so 1-1/2=1/2(Left from total)

1/5 to each son so 2/5 to both(Total for sons).

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8 0
3 years ago
CHECK MY ANSWERS ASAP
AlexFokin [52]

Question 1:

For this case we must rewrite the following equation:

-3x + y = 5

If we add 3x to both sides of the equation we have:

y = 5 + 3x

Thus, we have that an equivalent expression is option C.

Answer:

Option C

y = 5 + 3x

Question 2:

For this case we must solve the following equation:

-5x + 5 = -40

Subtracting 5 from both sides of the equation we have:

-5x = -40-5\\-5x = -45

Dividing between -5 on both sides of the equation we have:

x = \frac {-45} {- 5}\\x = 9

Answer:

Option B

7 0
3 years ago
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