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OLga [1]
3 years ago
10

Micah found the vertex for the function y= -9.5x? 47.5x+ 63 as shown. Find and correct Micah's error. Explain the error?

Mathematics
1 answer:
AveGali [126]3 years ago
5 0

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete as Micah's workings is not attached. So, there's no way to determine where Micah's error is.

However, I'll solve for the vertex of the given function.

Given

y = -9.5x^2 + 47.5x + 63

Vertex, V is of the form:

V= (h,k)

Where

h = -\frac{b}{2a}

and

k = f(h)

Solving for h:

y = -9.5x^2 + 47.5x + 63

y = ax^2 + bx + c

So:

a = -9.5

b = 47.5

c = 63

h = -\frac{b}{2a}

h = -\frac{47.5}{2 * -9.5}

h = -\frac{47.5}{-19}

h = \frac{47.5}{19}

h = 2.5

Solving for k

k = f(h)

k = f(2.5)

Substitute 2.5 for x in y = -9.5x^2 + 47.5x + 63

k = -9.5 * 2.5^2 + 47.5* 2.5 + 63

k = -59.375+ 118.75 + 63

k = 122.375

Hence:

The vertex is

V = (2.5,122.375)

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