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horsena [70]
1 year ago
5

Which function has a vertex at the origin?

Mathematics
1 answer:
dlinn [17]1 year ago
6 0

Answer:

  (d)  f(x) = -x²

Step-by-step explanation:

For the vertex of the quadratic function to be at the origin, both the x-term and the constant must be zero. That is, the function must be of the form ...

  f(x) = a(x -h)² +k . . . . . . . . . . vertex form; vertex at (h, k)

  f(x) = a(x -0)² +0 = ax² . . . . . vertex at the origin, (h, k) = (0, 0)

Of the offered answer choices, the only one with a vertex at the origin is ...

  f(x) = -x² . . . . . a=-1

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We just check on the graph and see that

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Can someone help me? i'm confunsed and I don't know anything​
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Answer:

See Below

Step-by-step explanation:

ABCD primes all correspond to x and y values on the graph.

A=

B=

C=

D=

1) y- intercept

2) time of max height

3) time when balloon hits ground

4) x-intercept

5) max height  

6) Initial height

So lets look at (0,A)

This would count as the y - intercept as well as the height they started throwing the balloons.

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A = y-intercept; Initial height

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This is the highest point on the graph, therefore it would be the max time and max height.

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(D,0)

From the visual above, this point would be where the balloon hits the ground

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D =  x intercept, Time when balloon hits ground

Therefore,

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