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Mathematics, 05.05.2021 03:00 kait93

Pls help. I just need help with a few, efficiently. Correct me if I'm wrong. Some of my answers can help people if needed. Thank you. Edge 2020/21 Step 1: Analyze the graph.

Daredevil Danny takes a practice jump as shown on the graph below. Complete the steps to determine the equation for the parabolic trajectory of his practice jump.

What are the key aspects of any parabola? What do the key aspects tell you about the graph?
(5 points)

It goes all the way up/down to its max point (which is the vertex) and comes down/up. Its vertex is (25, 32) and how far it went was from (15, 0) to (35, 0). This will tell us if it's truly a Parabola. Since a parabola is a plane curve that is mirrored symmetrically as a U-shape.

What are the key aspects of Daredevil Danny’s practice jump shown in the graph provided? Describe each value and how it is determined. (10 points)

The roots and vertex, you can find the vertex by using vertex form y=a(x-h)^2+k. You find the roots by solving the quadratic equation.

Step 2: Solve for coefficient a.

What equation is used to find the vertex form of a parabola with the vertex (h, k)? (5 points)

The equation F(x)=ax2+bx+c is used.

Solve for the coefficient a in the vertex form for the parabola in Daredevil Danny’s practice jump using key aspects from step 1. As you solve for the coefficient, explain each step of the process in detail. (15 points)

Not sure.

What is the vertex form of the parabola from Daredevil Danny’s practice jump? (5 points)

The vertex form of the parabola from Danny's practice jump is f(x)=-12/25(x-25)^2+32

Step 3: Change from vertex form to standard form.

To get Daredevil Danny through the Flaming Hoop Jump of Awesome, you will need to know the values of a, b, and c, which are the coefficients of the quadratic equation in standard form.

What is the equation for a parabola in standard form? (5 points)

The equation in standard form is y = ax^2 + bx + ct.

Describe how to convert from vertex form to standard form. (10 points
Not sure

Convert the vertex form of the equation you wrote above to standard form. (10 points)

It would be f(x)= -0.48xˆ2+24x-268

What are the values for coefficients a, b, and c in the quadratic equation for Daredevil Danny’s practice jump? (5 points)
Not sure

Step 4: Calculate the equation for the flaming hoop jump.

Using the same method for the practice jump, write the standard form of the equation that will get Daredevil Danny safely through the Flaming Hoop Jump of Awesome!

Write the vertex form by substituting in values for x, y, h, and k, and then solve for a. Show your work. (10 points)

0=a(4-24)^2+50

-50=a(4-24)^2

4-24= -20

-20^2=400

-50=a(400)

-50=400a

-50/400=-0.125

a = -0.125

Determine the values of a, b, and c. Show your work. (10 points)

-0.125(x-24)^2+50

-0.125(x-24)(x-24)+50

-0.125(x^2-24x-24x+576)+50

-0.125(x^2-48x+576)+50

-0.125x^2+6x-75+50

-0.125x^2+6x-22

a=-0.125

b=6

c=-22

Using your values of a, b, and c, did Daredevil Danny successfully pass through the Flaming Hoop Jump of Awesome? If not, describe what happened. Then, go back to critique your work and revise it. Write about your revision. (5 points)

Yes, Danny successfully passed.

Once you have determined the correct values of a, b, and c, verify algebraically that Daredevil Danny will successfully pass through the Flaming Hoop Jump of Awesome. (5 points)

If x is 4 and y is 0

0=-0.125(4)^2+6(4)-22

0=-2+24-22

0=-2+2

0=0

If x=44 and y=0

0=-0.125(44)^2+6(44)-22

0=-242+264-22

0=-242+242

0=0

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