Answer:
<u>y = -x² + 4</u>
Step-by-step explanation:
The equation of the parabola in the vertex form is:
y = a (x-h)² + k
Where: (h,k) the coordinates of the vertex & a is a multiplier
The parabola has a vertex at ( 0,4 )
So, h = 0 , k = 4
∴ y = a (x-0)² + 4
∴ y = a x² + 4
The parabola passes through points ( 2,0 )
∴ 0 = a 2² + 4
∴ 4 a = -4 ⇒ a = -4/4 = -1
∴ y = -x² + 4
So, the equation of a parabola that has a vertex at ( 0,4 ) and passes through points ( 2,0 ) is <u>y = -x² + 4</u>
See the attached figure.
(4,7)(0,7)
notice how ur points have the same y values....this means this is a horizontal line with a slope of 0.
equation is : y = 7...or y = 0x + 7...but we need it in standard form...
0x + y = 7 <== standard form
Answer:
2 1/4 cubic units is the answer
So Marci's sore was 45 because every percent has to be out of 100 so to get it to 50 you divide by two so 90 / 2 = 45. And 45-39 = 6
Marci got 6 more correct then Donovan.
We are given the function:
g(n) =
We need to find what g(-3) equals.
What the question is asking is what is the resulting value after you plug in -3 as n to the function. Meaning you replace the n that is in the function with -3.
g(-3) =
Remember back to the order of operations.
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
For this problem we can keep the fraction as it is (unless you are permitted to use a calculator... if that is the case then just plug all that into a calculator) and keep going to the exponent.
Negative exponents make fractions FLIP. So our fraction will look like this:
Now that we have it without the negative exponent we need to distribute the cubed power to each number in the fraction (which is essentially the same as saying this:
)
We ARE NOT done! We still have this left:
g(-3) =
Multiplying by 3 you get the following:
So what does g(-3) equal? This right here:
