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4 years ago

Find the equation of the graphed function.f(x)= _________

Mathematics

1 answer:

Hunter-Best [27]4 years ago

5 0

Answer:

y =(x+3) ^2

Step-by-step explanation:

The zero is -3 and it is the vertex (-3,0)

Using the vertex form of a parabola where ( h,k) is the vertex

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

y =a(x- -3) ^2+0

y =a(x+3) ^2

We also know another point is ( -1,4)

Substituting that point into the equation

4 = a( -1+3) ^2

4 = a( 2)^2

4 = a*4

Divide each side by 4

1 =a

The equation is

y =(x+3) ^2

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4 years ago

In a large lecture course, the scores on the final examination followed the normal curve closely. The average score was 60 point

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Answer:

The value is $\sigma = 31.35$

Step-by-step explanation:

From the question we are told that

The average score is $\mu = 60$

Generally the probability that $\frac{1}{4} = 0.25$ of the class score is between 50 and 70 points is mathematically represented as

$P(50 < X < 70)= P(\frac{50 - 60 }{\sigma } < \frac{X - \mu }{\sigma} < \frac{70 - 60}{\sigma } ) = 0.25$

$\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )$

$P(50 < X < 70)= P(\frac{-10 }{\sigma } < Z < \frac{10}{\sigma } ) = 0.25$

=> $P(50 < X < 70)= P(Z < \frac{10 }{\sigma }) -(Z < \frac{-10}{\sigma } )= 0.25$

=> $P(50 < X < 70)= 2P(Z < \frac{10 }{\sigma }) = 0.25$

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3 years ago

Find the equation of the graphed function.f(x)= _________​

Find the equation of the graphed function.f(x)= _________