How do you solve #y = x^2 − 14x + 24# graphically and algebraically?
There are 3 ways to solve this quadratic algebraically. The most simple way to solve your problem would be to use the product and sum method.
Before we begin, another way to write
So, firstly, the product and sum of
Sum = -14
Now the next step is to find two numbers that will give you a product of 24 and a sum of -14.
P: -12*-2 =24
S: -12 + (-2) =14
Therefore your product and sum are -12 and -2.
Next, write these numbers in an expanded quadratic form:
Now simply solve using null factor law:
Therefore x=12 or 2
Algebraically first then plot the graph
This is when
To find the turning point, use completing the square:
To do it graphically, it is a