Tag Archives: week 8

Week 9 – Modelling Problems with the Quadratic Equation.

Find two integers with a sum of 36 and the greatest possible product.

Find the variables

I personally like to use the variable “x”, and since there are two integers that means there are two integers. That means the second variable is (36 – x). For example, if the first variable was 4 and using 36-x, would result in 36 – 4, that means the second variable would be 32.

Variables  

1st x= x

2nd x= 36-x

when it says the greatest possible product, that means that we’re looking for the maximum value.

We put the variables in the factored form.

(x) (36 – x)

1st x = 0

2nd x = 36

Now we need to find the vertex

(1st x) + (2nd x) / 2

0 + 36 /2= 18

(18,_)

Then we input the new “x” value

(x) (36-x)

(18) (36-18)

(18) (18)

=324

So the answer is (18,324).

 

Week 8 – Properties of a Quadratic Equation

This week we looked at graphing our quadratic equations. Even looking at a simple equation can help to see the properties of the parabola. A parabola is a shape that forms.

 

y= x^2 + 6, means that the vertex moves up on the y-intercept, another thing we can analyze the equation is the coefficient, if the coefficient was negative then the parabola would be facing down, also you can see that the coefficient is equal to one, that means the parabola will stretch, if the parabola was less than one, the parabola would be compressed.