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To find the value of a in a parabola opening left or right subtract the x value of the parabola at the vertex from the x value of the point on the parabola that is one unit the vertex?
Above
Which way does a parabola open when the coefficient of its y2term a is negative?
Nose points right, opens to the left.
How do you find an equation of a parabola using the vertex and a point it passes through?
I would use the alternate parabolic equation (y-k)2 = a (x-h). You can plug in the coordinates of the vertex (h, k)--h is the x coordinate of the vertex and k is the y coordinate of the vertex. Now you are left with an equation with an x and y, which are fine, but also an a, which we still have to get rid of. The a describes how steeply the parabola increases. To find the actual number, plug the other point you were given into the equation (where the x and y are). How you are left with one equation and one variable, so you can solve for a = some number. Now return to the beginning of the previous step, when you had and x, y, and a in your equation. Keep the x and y in their original positions, but replace a with the number you just found.
What is the length width and the height of a rectangular prism?
They are the distances from any one vertex to the three adjacent vertices. If you start with the bottom, left, front vertex then:Length may be to the vertex that is at the bottom, right, front;Width to the vertex at the bottom, left, back; andHeight to the vertex at the top, left, front.
Given the standard equation for a parabola opening left or right which way does a parabola open when the coefficient of the y2-term a is positive?
right
