How do you make an equation of it the given points?
1 answer:
Quadratic equations can be expressed in vertex form as follows: y = a(x - h)^2+ <span>k.
In this equation, the </span>vertex is (h,k). This means you can plug in the values as follows: y = a(x + 2)^2 + <span>1. Notice in the brackets the - becomes + because it's a -2 we're subbing in.
Now we just need to solve for a to find the general form of the equation. We can do this by subbing in the other point we're giving in the question for x and y as follows:
</span>
Now that we have a value for a, we can write the general equation for this parabola: y = (x + 2)^2 + 1. (Since a=1 it doesn't need to be explicitly written in the equation).
In this equation, the </span>vertex is (h,k). This means you can plug in the values as follows: y = a(x + 2)^2 + <span>1. Notice in the brackets the - becomes + because it's a -2 we're subbing in.
Now we just need to solve for a to find the general form of the equation. We can do this by subbing in the other point we're giving in the question for x and y as follows:
</span>
Now that we have a value for a, we can write the general equation for this parabola: y = (x + 2)^2 + 1. (Since a=1 it doesn't need to be explicitly written in the equation).
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