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Jan'ai was asked to determine the minimum for a function with zeros located at –1 and 5, which also has a y-intercept of (0, –25). Her work is shown.
Which best describes the FIRST error in Jan'ai's work?
A) She incorrectly determined the factors for the beginning function.
B) She incorrectly determined the a value.
C) She incorrectly transformed the equation to standard form.
D) She incorrectly determined the x-coordinate of the vertex.
I think it is C idk tho

Respuesta :

Answer:

D) She incorrectly determined the x-coordinate of the vertex.

Hence Option D is the correct option

What is the error?

In mathematical terms an error is difference value in the actual answer and the estimated answer.

How to solve?

Given that  the minimum for a function with zeros located at –1 and 5,

Also intercepts given is  y-intercept of (0, –25) ,

Now we need to find the best error,

We know that any intercept on the axis has the other value 0 , hence x is 0 if the intercept is at y(0,-25)

But we are given that 2 zeros of the equation are -1,5

f(x) = a(x+1)(x-5)

-25 = a(0+1)(0-5)

a=5

ALSO

f(x) = 5(x+1)(x-5)

f(x) = 5x^2-20x-25

x = -20/2(5) = -20/10; x = -2

y = 5x^2-20x-25

y = 5(-2)^2-20(-2)-25

y = 35 so (-2,35)

hence she must have incorrectly determined value of x coordinate

Hence ,option D) She incorrectly determined the x-coordinate of the vertex. is correct.

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