Mathematics, 17.11.2019 10:31 sadiyahaaqilah

Which polynomial function could be represented by the graph below?
answer fast im timed
a. f(x) = x2 + x – 2
b. f(x) = 2x2 + 2x – 4
c. f(x) = x2 – x – 2
d. f(x) = 2x2 –2x – 4

Which polynomial function could be represented by the graph below? answer fast im timed

Answers: 3

Show answers

Answers

Answer from: Mystical3Sparkle

The parabola passes through the points (-2,0), (0,-4), and (1,0), then these points must satisfy the equation of the parabola.

For example:
1) (0,-4)→for x=0, y=-4→The independent term must be equal to -4
Only option b and d have independent term of -4

2) (1,0)→for x=1, y=0
Equation b. f(1)=2(1)^2+2(1)-4=2(1)+2-4=2+2-4→f(1)=0 Ok
Equation d. f(1)=2(1)^2-2(1)-4=2(1)-2-4=2-2-4→f(1)=-4 No

Option b. f(x)=2x^2+2x-4

Answer from: QueenZenobia

The polynomial function is $\boxed{f\left( x \right) = 2{x^2} + 2x - 2}$ that is represented by the graph.

Further explanation:

Given:

The options of the equations are as follows.

1. $f\left( x \right) = {x^2} + x - 2$

2. $f\left( x \right) = 2{x^2} + 2x - 4$

3. $f\left( x \right) = {x^2} - x - 2$

4. $f\left( x \right) = 2{x^2} - 2x - 4$

Explanation:

The graph passes through the points $\left( {0, - 4} \right)$ and $\left( { - 2,0} \right).$

Substitute 0 for x and -4 for $f\left( x \right)$ in equation $f\left( x \right) = {x^2} + x - 2$ to check the point satisfy the equation.

$\begin{aligned}- 4&={\left( 0 \right)^2}+ 0 - 2\\- 4&\ne- 2\\\end{aligned}$

The point doesn’t satisfy the equation.

Substitute 0 for x and -4 for $f\left( x \right)$ in equation $f\left( x \right) = 2{x^2} + 2x - 4$ to check the point satisfy the equation.

$\begin{aligned}- 4&= 2{\left( 0 \right)^2} + 2\left( 0 \right)- 4\\- 4&=- 4\\\end{aligned}$

The point satisfies the equation.

Substitute -2 for x and 0 for $f\left( x \right)$ in equation $f\left( x \right) = 2{x^2} + 2x -4$ to check the point satisfy the equation.

$\begin{aligned}0&=2{\left( { - 2}\right)^2} + 2\left( { - 2} \right) - 4\\0&= 8 - 4 - 4\\0&= 0\\\end{aligned}$

The point satisfies the equation.

Substitute 0 for x and -4 for $f\left( x \right)$ in equation to check $f\left( x \right) = {x^2} - x - 2$ the point satisfy the equation.

$\begin{aligned}- 4&= {\left( 0 \right)^2}- \left( 0 \right) - 2\\- 4&\ne- 2\\\end{aligned}$

The point doesn’t satisfy the equation.

Substitute 0 for x and -4 for $f\left( x \right)$ in equation $f\left( x \right) = 2{x^2} - 2x - 4$ to check the point satisfy the equation.

$\begin{aligned}- 4&= 2{\left(0 \right)^2} - 2\left( 0 \right) - 4\\- 4&=- 4\\\end{aligned}$

The point satisfies the equation.

Substitute -2 for x and 0 for $f\left( x \right)$ in equation $f\left( x \right) = 2{x^2} - 2x – 4$ to check the point satisfy the equation.

$\begin{galigned}0&= 2{\left( { - 2} \right)^2} - 2\left( { - 2} \right) - 4\\0&= 8 + 4 - 4\\0\ne8\\\end{aligned}$

The point doesn’t satisfy the equation.

Hence, the polynomial function is $\boxed{f\left( x \right) = 2{x^2} + 2x - 4}$ that is represented by the graph.Option (b) is correct.

Option (a) is not correct.

Option (b) is correct.

Option (c) is not correct.

Option (d) is not correct.

Learn more:

1. Learn more about inverse of the functionhttps://.

2. Learn more about equation of circle .

3. Learn more about range and domain of the function

Answer details:

Grade: High School

Subject: Mathematics

Chapter: polynomials

Keywords:quadratic equation, equation factorization, polynomial, quadratic formula, zeroes, function.

Answer from: Quest

Yuh yeet honestly idk

Answer from: Quest

ome people is not even worth it to even try it in the air.

step-by-step explanation:

Another question on Mathematics

Mathematics, 21.06.2019 12:30

On the way home from visiting his family, vincent’s plane cruised at an altitude of 3.2 × 104 feet. he had heard that a man named felix baumgartner skydived from an altitude of 1.28 × 105 feet. vincent wants to know how much higher felix went on his skydiving trip. question 1 you have already seen how adding numbers works in either scientific notation or standard notation. but can you subtract numbers in scientific notation and get the same results as subtracting in standard notation? to find out, first solve vincent’s problem in standard notation. part a write the cruising altitude of vincent’s plane in standard notation.

Answers: 3

Answer

Mathematics, 21.06.2019 18:30

At the olympic games, many events have several rounds of competition. one of these events is the men's 100-meter backstroke. the upper dot plot shows the times (in seconds) of the top 8 finishers in the final round of the 2012 olympics. the lower dot plot shows the times of the same 8 swimmers, but in the semifinal round. which pieces of information can be gathered from these dot plots? (remember that lower swim times are faster.) choose all answers that apply: a: the swimmers had faster times on average in the final round. b: the times in the final round vary noticeably more than the times in the semifinal round. c: none of the above.

Answers: 2

Answer

Mathematics, 21.06.2019 20:00

1: 4 if the wew 35 surfboards at the beach how many were short boards?

Answers: 1

Answer

Mathematics, 22.06.2019 01:00

The stem-and-leaf plot shows the heights in centimeters of teddy bear sunflowers grown in two different types of soil. soil a soil b 5 9 5 2 1 1 6 3 9 5 1 0 7 0 2 3 6 7 8 2 1 8 3 0 9 key: 9|6 means 69 key: 5|8 means 58 calculate the mean of each data set. calculate the mean absolute deviation (mad) of each data set. which set is more variable? how do you know?

Answers: 2

Answer

You know the right answer?

Which polynomial function could be represented by the graph below?
answer fast im timed

Questions