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NARA [144]
3 years ago
12

Suppose a parabola has an axis of symmetry at x = -8 , a maximum height of 2, and passes through the point (-7, -1). Write the e

quation of the parabola in vertex form.
Mathematics
1 answer:
lidiya [134]3 years ago
3 0
As it has a maximum value the coefficient of x^2 will be negative

The vertex will be at (-8,2)  so in vertex form it is

y = a(x + 8)^2 + 2
and as it passes through (-7,-1) we have:

-1  = a(-7+8)^2 + 2

-1 = a + 2  so a = -3

answer is  y = -3(x + 8)^2 + 2

in standard form this is y = -3x^2 -48x  - 190
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borishaifa [10]
It would be (n+2) (n+1)
7 0
3 years ago
You go out to eat with your family. The subtotal on your bill is $45.90. You must pay a 8% sales tax AND you would like to leave
Eddi Din [679]

Answer:

The answer is 57.83

Step-by-step explanation:

find 8% of 45.90 and add 18% of 45.90 and add them together.

8%*45.90=3.67

18%*45.90=8.26

Add, 45.90+8.26+3.67

The final price of your meal is 57.83

7 0
3 years ago
state the domain, the range, and the intervals on which function is increasing, decreasing, or constant in interval notation
erma4kov [3.2K]

Answer:

  • domain (-∞, ∞)
  • range (-∞, 4]
  • increasing (-∞, 0)
  • decreasing (0, ∞)
  • constant (only at x=0, not on any interval)

Step-by-step explanation:

The graph is of the equation y = -x^2 +4. It is a polynomial of even degree, so has a domain of all real numbers: (-∞, ∞).

The vertical extent of the graph includes y=4 and all numbers less than that:

  range: (-∞, 4]

The graph is increasing to the left of its vertex at x=0, decreasing to the right.

  increasing (-∞, 0); decreasing (0, ∞)

There is no interval on which the function is constant. It has a horizontal tangent at x=0, but a single point does not constitute an interval.

8 0
3 years ago
HELP<br><br><br><br><br> QUICK<br><br><br><br><br> LOL THANKS !!!
Anon25 [30]

Answer:

0.6

Step-by-step explanation:

The x increases by 5, while y increases by 3

Lets use the method, which is \frac{rise}{run}.

Keep in mind that x goes horizontally along the axis, while y goes vertically on the axis.

So plug the numbers in.

\frac{3}{5} = 0.6

Hence, the constant proportionality is 0.6.

8 0
3 years ago
Read 2 more answers
Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing! CHECK ALL THAT APPLY
Taya2010 [7]

Answer:

A) 26

E) 12

Step-by-step explanation:

11x ≥ 132

x ≥ 12

The solution set would include numbers greater than or equal to 12

3 0
3 years ago
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