Completing the square is a really useful way to find the peak point of a quadratic equation!
When you have an equation that looks like this:
[ y = ax^2 + bx + c, ]
changing it to a special format makes everything clearer.
Here’s how it works:
Format: You change it to the form:
[ y = a(x - h)^2 + k. ]
In this equation, ((h, k)) is the peak point, called the vertex.
Vertex: You can easily find the values of (h) and (k). This makes it simple to identify the vertex.
Graphing: This new form shows the highest or lowest point of the parabola. Now you can see which way it opens and where it turns!
This method is really helpful, especially when you want to draw graphs!
Completing the square is a really useful way to find the peak point of a quadratic equation!
When you have an equation that looks like this:
[ y = ax^2 + bx + c, ]
changing it to a special format makes everything clearer.
Here’s how it works:
Format: You change it to the form:
[ y = a(x - h)^2 + k. ]
In this equation, ((h, k)) is the peak point, called the vertex.
Vertex: You can easily find the values of (h) and (k). This makes it simple to identify the vertex.
Graphing: This new form shows the highest or lowest point of the parabola. Now you can see which way it opens and where it turns!
This method is really helpful, especially when you want to draw graphs!