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Scorpion4ik [409]
3 years ago
8

3

Mathematics
1 answer:
Klio2033 [76]3 years ago
4 0
Hello and I hate that omg omngol gomf
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The vertex of a parabola is (-1.5, -12.5), and its y-intercept is (0, -8).
Alecsey [184]
The general equation of a parabola is y=ax^2+bx+c  At the y-intercept, x=0 and y= -8:  -8 = a(0)^2 + b(0) + c.  Thus, c = -8.  So, our equation becomes

y = ax^2 + bx - 8.  Next, substitute -1.5 for x and -12.5 for y.  Then,
-12.5 = a(-1.5)^2 + b(-1.5) - 8.  This simplifies to -4.5 = a(2.25) - 1.5b.

Next, take advantage of the info that the vertex is at x= -1.5.
The formula for the vertex is x=-b/(2a).    Letting this formula = -1.5, 

-1.5 = -b/(2a).  We can then solve for b:  1.5 = b/(2a), or 3a = b.

Now go back to the equation we derived previously:  -4.5 = a(2.25) - 1.5b.
Substitute 3a for b:

-4.5 = a(2.25) - 1.5(3a).    Then -4.5 = -2.25a, and a = 4.5/2.25 = 2.

Last, substitute a = 2 into   3a=b to determine the value of b.

b=3(2) = 6.

Therefore, your equation is y=2x^2 + 6x - 8.

Check this result.  Substitute the coordinates of the vertex (-1.5,-12.5) into this equation.  Is the equation still true?  If so, your equation correctly represents this parabola.
4 0
3 years ago
Read 2 more answers
Susan tips at the rate of $75 to 5 waiters. How many waiters will she be tipping, if she can afford a $90 tip?
Mila [183]
She will be tipping 6 waiters if she afford a $90 tip.


Hope it Helps :]
8 0
2 years ago
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Mrs. Evans drove 24 miles on 3 gallons of gas. What is her unit rate in miles per gallon??
son4ous [18]

Answer:  8 miles

Step-by-step explanation:

24/3=8

8 0
3 years ago
A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircle is equal to the width of t
WITCHER [35]
Https://answers.yahoo.com/question/index?qid=20091104081842AAhdJmS

That might have your answer 

7 0
3 years ago
Refer to the table below if needed.
lozanna [386]

Answer:

12

Step-by-step explanation:

y=c that make 0 and then i mulitply -1 to -12

then i did the opposite for 360 time -12 that 700 and then i devided and got 12

4 0
3 years ago
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