Mathematics: The quadratic function shown graphed below has the form f(x) = (x + h) ^ 2 + k Determine the values of h and k

The quadratic function shown graphed below has, №13517920, 28.10.2021 22:15

Mathematics

Question 1(Multiple Choice Worth 1 points) (08.06 MC) A portion of the graph of f(x) = −x2 − 2x + 8 is shown. Which of the following describes all solutions for f(x)? a partial parabola opening down and passing through negative 4 comma 0 and 2 comma zero with endpoints at negative 5 comma negative 7 and 3 comma negative 7 (x, −x2 − 2x + 8), where −5 ≤ x ≤ 3 (x, y), where −4 ≤ x ≤ 2 (x, −x2 − 2x + 8), where −4 ≤ x ≤ 2 (x, y) for all real numbers Question 2(Multiple Choice Worth 1 points) (08.06 MC) Two functions are shown in the table below: Function

Step-by-step answer

P Answered by PhD

1) (x, −x2 − 2x + 8), where −5 ≤ x ≤ 3;
2) x = 4;
3) h(x) = 4x − 6;
4) The solution to f(x) = t(x) is x = 2010;
5) x = −1;
6) All whole number solutions;
7) Both a(x) and b(x) have the same output value at x = 2;
8) (−8, 0);
9) (x, x2 − 6x − 16) for all real numbers;
10) The answer is f(x) will eventually exceed g(x) because f(x) is an exponential function.

Mathematics

Finish the steps below to write a quadratic function for the parabola shown. use the vertex form, f(x) = a(x – h)2 + k, and substitute in the values for h and k. f(x) = a(x – 5)2 + 3 use another point and substitute in values for x and f(x). solve for a. 5 = a(6 – 5)2 + 3 write the function, using the values for h, k, and a. the function is f(x) = (x – )2 + .

Step-by-step answer

P Answered by PhD

107

Here we want to write the quadratic function for the parabola shown in vertex form.

We will get the function: f(x) = 2*(x - 5)^2 + 3

So the general function of a parabola with vertex (h, k) and leading coefficient a is:

f(x) = a*(x - h)^2 + k

Here, we know the formula:

f(x) = a*(x - 5)^2 + 3

where:

h = 5k = 3

So the vertex is the point (5, 3), and we only must find the value of a to completely determine the parabola's function

We also know that:

f(6) = 5

So we can solve:

5 = a*(6 - 5)^2 + 3

5 = a*(1)^2 + 3

5 = a + 3

5 - 3 = a = 2

So we just found the value of a, replacing this on the parabola's function we get:

f(x) = 2*(x - 5)^2 + 3

If you want to learn more about parabolas, you can read:

link

Mathematics

Finish the steps below to write a quadratic function for the parabola shown. use the vertex form, f(x) = a(x – h)2 + k, and substitute in the values for h and k. f(x) = a(x – 5)2 + 3 use another point and substitute in values for x and f(x). solve for a. 5 = a(6 – 5)2 + 3 write the function, using the values for h, k, and a. the function is f(x) = (x – )2 + .

Step-by-step answer

P Answered by PhD

107

Here we want to write the quadratic function for the parabola shown in vertex form.

We will get the function: f(x) = 2*(x - 5)^2 + 3

So the general function of a parabola with vertex (h, k) and leading coefficient a is:

f(x) = a*(x - h)^2 + k

Here, we know the formula:

f(x) = a*(x - 5)^2 + 3

where:

h = 5k = 3

So the vertex is the point (5, 3), and we only must find the value of a to completely determine the parabola's function

We also know that:

f(6) = 5

So we can solve:

5 = a*(6 - 5)^2 + 3

5 = a*(1)^2 + 3

5 = a + 3

5 - 3 = a = 2

So we just found the value of a, replacing this on the parabola's function we get:

f(x) = 2*(x - 5)^2 + 3

If you want to learn more about parabolas, you can read:

link

Mathematics

Deanna gets 3 problems incorrect on a math quiz. Her score is 85%. How many questions are on the quiz?

Step-by-step answer

P Answered by PhD

The answer is in the image

Mathematics

Anthony received $150 for his birthday this year. This was $10 less than half the amount he received last year. How much money did Anthony receive for his birthday last year?

Step-by-step answer

P Answered by PhD

The answer is in the image

Mathematics

In a parking lot, for every 8 cars there are 7 trucks. What is the ratio of cars to trucks? A)7 : 8 B)8 : 7 C)8 : 15 D)15 : 8

Step-by-step answer

P Answered by PhD

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

Mathematics

A 4300-N force from a car s engines produces an acceleration of 3.3 m/s2. What is the mass of the car? A. 4300 kg B. 1300 kg C. 14,000 kg D. 390 kg

Step-by-step answer

P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

=4300/3.3

=1303.03kg

Approximately it is aqual to 1300kg

Mathematics

If a salesperson makes 6% commission, how much would they make from a $1,800 sale?

Step-by-step answer

P Answered by PhD

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

Mathematics

Stefania pure 2 liters of orange juice and 1.5 liters of pineapple juice into a punch bowl how many kiloliters are in the punch bowl

Step-by-step answer

P Answered by PhD

The answer is in the image

Mathematics

Thomas got a haircut from the barber. If the haircut costs $32 and he wants to leave a 18% tip, how much will he pay in total?

Step-by-step answer

P Answered by PhD

Here,

tip=18%of $32

tip=(18/100)*32

=0.18*32

=$5.76

Total payment=32+5.76=$37.76

The quadratic function shown graphed below has the form f(x) = (x + h) ^ 2 + k Determine the values of h and k

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