Question

Daredevil Danny hoop jump Step 4: b) 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) d) 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)
Pleasee Helppp I can't figure it out and I'm running out of time to get it turned in.

Answer 1

The equation of Daredevil Danny's jump in vertex form is y = -0.32(x - 25)^2 + 32

The values of the coefficients a, b and c

The graph of Daredevil Danny's jump is added as an attachment

A quadratic function is represented as:

y = a(x - h)^2 + k

From the graph, we have:

• Vertex, (h, k) = (25,32)
• x-intercepts = 15 and 35

So, we have:

y = a(x - 25)^2 + 32

Substitute the value of the x-intercept

0 = a(15 - 25)^2 + 32

Subtract 32 from both sides

a(15 - 25)^2 = -32

Solve for a

a = -0.32

Substitute a = -0.32 in y = a(x - 25)^2 + 32

y = -0.32(x - 25)^2 + 32

Expand the exponent

y = -0.32(x^2 -50x + 625) + 32

Expand the bracket

y = -0.32x^2 + 16x - 200 + 32

This gives

y = -0.32x^2 + 16x - 168

Hence, the values of the coefficients a, b and c are -0.32, 16 and -168

Did he jump successfully?

Yes, he jumped successfully

This is so because his maximum height (i.e. the vertex of his jump) is higher than the vertex of the hoop

Read more about quadratic functions at:

brainly.com/question/22679014

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