Find a function whose graph is a parabola with vertex (7, 8) and that passes through the point. (6, −9).

1 answer:

7 0

Work backwards from vertex form. Vertex form of a quadratic equation/parabola is the following:

f(x) = a(x - h)² + k, where (h, k) is the vertex.

f(x) = a(x - 6)² - 9

Now, plug in the point that you're given to SOLVE FOR A. Remember that f(x) is just another way of writing y.

8 = a(1)² - 9
8 = a - 9
a = 17

So, plug in a = 17 into the equation.

f(x) = 17(x - 6)² - 9 ←← your answer.

I hope my answer has come to your help. Thank you for posting your question here in Brainly.

You might be interested in

Sam intends to roll a six sided cube 100 times. What is the probability model he can use to predict whether or not each roll wil

bekas [8.4K]

The outcomes of rolling fair six sided die is $\{1,2,3,4,5,6\}$ . The prime numbers in the above outcomes are $\{2,3,5\}$ . The probability of not rolling a prime number is $p=\frac{3}{6}= 0.5$ .

Each trial is independent.

In the given experiment of 100 trials, the binomial probability model can be used to predict the number of occurrence of non-prime numbers (X). The probability mass function is

$P(X=x)=C(100,x)p^x(1-p)^{100-x},x=0,1,2,3,...,100$ . Since $p=0.5,1-p=0.5$