How would I simplify this quadratic equation:
y=-15/20.25(x^2+3x+2.25)+0
This is my work already done the original equation I was given but I need help simplifying the equation I have found.
what do you mean simplify? You can distribute the fraction, and you get
-15/20.5 = 0.73
so you could write
-.73x^2 - 2.20x - 1.65
but that's only approximate. SO, again, what do you mean by "simplify"?
I will note that x^2+3x+2.25 = (x+1.5)^2 if that helps
You have the vertex form of a quadratic function. The vertex is at (-1.5,0)
To simplify the given quadratic equation, you need to perform the necessary mathematical operations. Let's break down the steps:
1. Distribute the fraction -15/20.25 to every term inside the parentheses:
y = -15/20.25(x^2) - 15/20.25(3x) - 15/20.25(2.25) + 0
2. Simplify the fractions:
y = -15/20.25x^2 - (45/20.25)x - (33.75/20.25) + 0
3. Further simplify the fractions by reducing them to their simplest form:
y = -15/20.25x^2 - (9/4.25)x - (27/16) + 0
However, it's important to note that the given equation can be simplified even further. The fraction -15/20.25 is equivalent to -3/4. Use this knowledge to simplify the equation:
y = (-3/4)(x^2) - (9/4.25)x - (27/16) + 0
Now, the quadratic equation is simplified.