How would I simplify these two equations I have made up from looking at parabolas:
y=-15/20.25(x+1.5)^2+0
y=a(x+2)^2+1.5
To simplify the equations you have provided, let's go through each step for each equation.
Equation 1: y = -15/20.25(x + 1.5)^2 + 0
Step 1: Simplify the fraction:
-15/20.25 reduces to -5/6.75. To further simplify this, you can divide both the numerator and denominator by their greatest common divisor, which is 5:
-5/6.75 = -(5/5)/(6.75/5) = -1/1.35
Equation 1 now becomes: y = -1/1.35(x + 1.5)^2 + 0
Step 2: Remove unnecessary addition of zero:
Since adding 0 does not change the value of an expression, you can remove it from the equation:
y = -1/1.35(x + 1.5)^2
Final simplified form of Equation 1: y = -1/1.35(x + 1.5)^2
Equation 2: y = a(x + 2)^2 + 1.5
This equation does not require further simplification, as it is already in its simplest form.
Final simplified form of Equation 2: y = a(x + 2)^2 + 1.5
Remember that these equations represent parabolas, and the variables a, x, and y can have different values depending on the context.