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Alika [10]
3 years ago
8

Jessica is asked to write a quadratic equation to represent a function that goes through the point (8, –11) and has a vertex at

(6, –3). Her work is shown below.
–11 = a(8 – 6)2 – 3
–11 = a(2)2 – 3
–11 = 4a – 3
–8 = 4a
a = –2

After Jessica gets stuck, she asks Sally to help her finish the problem. Sally states that Jessica needs to write the quadratic equation using the value she found for a, –2, and the point (8, –11).

Evaluate Jessica’s work and Sally’s review to determine which statement is true.
Mathematics
2 answers:
serious [3.7K]3 years ago
7 0

Answer:

Jessica’s work is correct and Sally’s review is incorrect

Step-by-step explanation:

I'm just assume it's a vertical parabola

we know that

The equation of a vertical parabola in vertex for is equal to

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

where

(h,k) is the vertex

In this problem we have

(h,k)=(6,-3)

point (8,-11)

substitute

-11=a(8-6)^{2}-3

-11=a(2)^{2}-3

-11=4a-3

-8=4a

a=-2

To find the equation using the value of a and the vertex point

so

y=-2(x-6)^{2}-3

therefore

Jessica’s work is correct and Sally’s review is incorrect


harina [27]3 years ago
4 0
Jessica solved for the correct value of a, but Sally's review was incorrect. 
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How many times can 1021 go into 6
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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Here, the given quadratic equation is : 4x^2 + 4x+ 1 = 0

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4x^2 + 4x+ 1 = 0  = 4x^2 + 2x+ 2x +  1 = 0\\\implies 2x( 2x + 1) + 1(2x + 1) = 0\\\implies (2x +1)(2x +1)  = 0\\

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Here, in both the cases, the value of x is equal i.e x  =  -1/2

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lana [24]

Answer:

Day\ 3 = 16237

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Step-by-step explanation:

Given

Day\ 1 = 16390

Day\ 2 = 16550

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Required

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Comparing 16390, 16550 and 16237.

The order of arrangement from least to greatest is:

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So, we have:

Day\ 3 = 16237

Day\ 1 = 16390

Day\ 2 = 16550

6 0
3 years ago
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