The function f(x)=x2+1x-3 written in vertex form

jekas [21]

Answer:

You can find the point of intersection of the line with the y-axis and the the point of intersection of the line with the x-axis. See the graph attached.

Step-by-step explanation:

Find the intersection with the y-axis. Substitute $x=0$ into the equation and solve for y:

$y-3=\frac{1}{3}(x+1)\\\\y-3=\frac{1}{3}(0+1)\\\\y-3=\frac{1}{3}(1)\\y=\frac{1}{3}+3\\\\y=\frac{10}{3}$

$y$ ≈3.33

Find the intersection with the x-axis. Substitute $y=0$ into the equation and solve for x:

$y-3=\frac{1}{3}(x+1)$

$0-3=\frac{1}{3}(x+1)\\(-3)(3)=x+1\\-9-1=x\\x=-10$

Now, you know that the line passes through the point (0,3.33) and (-10,0). Now you can graph the function. (Observe the graph attached)

6 0

3 years ago

If f(x) = 6x-11, what is f(-6)?

In-s [12.5K]

If f(x) = (6x-11), then f(-6) = -47.

We are provided in the question statement with a function "f(x)" whose output is a polynomial of 1 variable and degree 1.

To obtain the value of f(-6) from the output polynomial of the function f(x), we will simply need to substitute (-6) as the value of x in the polynomial and calculate the final value.

So,

$f(-6)=[(6*(-6))-11]\\or, f(-6)=(-36-11)\\or, f(-6)=-(36+11)\\or, f(-6) =-47$

Hence, f(-6) = -47.

Polynomial: In mathematics, an expression of more than two algebraic terms, especially the sum of several terms that contain the same variable(s) of different powers and individual, distinct co-efficients.
Function: In Mathematics, a function is an operator which on taking input, provides a certain output.

To learn more about Polynomials and Functions, click on the link below.

brainly.com/question/26910958

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5 0

1 year ago

Brigid is picking strawberries at the Pick-Your-Own Farm. Her goal is to pick 5 bushels of strawberries. She has already picked

Dafna11 [192]

This question does not make much sense. Brigid has already picked 112 bushels, and she picks at a rate of 58 bushels per hour, the scenario question does not make any sense. 58h + 112 = 5...? What does this mean? But whatever the left side of the equation is, first subtract 112 from both sides and divide by 58, then you will get the value of "h."

8 0

3 years ago

Read 2 more answers

What is the present value of $3,000 per year for 9 years discounted back to the present at 10 percent?

Studentka2010 [4]

Answer:

$17,277.07

Step-by-step explanation:

Present value of annuity is the present worth of cash flow that is to be received in the future, if future value is known, rate of interest is r and time is n then PV of annuity is

PV of annuity = $\frac{P[1-(1+r)^{-n}]}{r}$