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Mathematics 15 Online
Pixel:

Quadratic rate of change

Pixel:

1 attachment
Pixel:

@Hero

Pixel:

I know the steps it's just the fraction that messes me up

Hero:

Rate of change formula for a quadratic function: \(\overline{\triangle} = \dfrac{f(b) - f(a)}{b - a}\), where a and b are any two values of \(x\) on the graphh of \(f(x)\)

Pixel:

I know how to do this it's the fraction that messes me up

Hero:

Pretty straight forward to me. What's supposedly confusing you about it?

Pixel:

-3 + 2 = 1^2 1 -1/2 x 1 = -1/2

Pixel:

Im just bad at fractions in general

Pixel:

-1/2 + 5 = 4 1/2

Pixel:

right?

Hero:

Why don't you try using the equation button to post your fraction?

Pixel:

too lazy

Pixel:

Are you going to help me?

Hero:

Use the drawing feature to post your answer. I need something better than what you posted above. It looks a little incoherent as currently presented.

Pixel:

|dw:1524507568895:dw|

Pixel:

5.5 = -3 -2 = 1

Hero:

What I mean is, show your work by applying the formula above.

Pixel:

|dw:1524507678108:dw|

Pixel:

|dw:1524507774413:dw|

Hero:

How about start with: \(\dfrac{f(1) - f(-3))}{1 -(-3)}\)

Pixel:

my teachers say differently

Pixel:

to get the x,y values then do the formula

Hero:

\(=\dfrac{-\dfrac{1}{2}(1 + 2)^2 + 5-(-\dfrac{1}{2}(-3 + 2)^2 + 5)}{1-(-3)}\) \(=\dfrac{1.5 -(2.5)}{1-(-3)}\) \(=-\dfrac{1}{4}\)

Pixel:

i got -1 with a rate of change calculator

Hero:

How do we know you entered the information correctly?

Pixel:

1 attachment
Hero:

\(=\dfrac{-\dfrac{1}{2}(1 + 2)^2 + 5-(-\dfrac{1}{2}(-3 + 2)^2 + 5)}{1-(-3)}\) \(=\dfrac{0.5 -(-2.5)}{1-(-3)}\) \(=\dfrac{3}{2}\)

Hero:

That's my next calculation. If that isn't it, then oh well. The important thing is understanding the method.

Pixel:

1 attachment
Pixel:

i got it right

Nnesha:

|dw:1524508747031:dw|

Hero:

Next time I get a problem like this, I'm just going to do it on paper first rather than trying to type it all up and do ALL of the math mentally.

Hero:

Yep, it's -1. Did the math mentally. I see exactly where I messed up.

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