How is it expressed in the equation?
if a quadratic equation is graphed with a shift upward, how is that expressed in its equation? It is shown as x^2 + x, or x^2 + 1, or x^2 – x, or x^2 – 1.
The shifts of a quadratic equation are expressed in each equation through a formula. Please provide those formulas with a corresponding brief description of what does that equation represent. For example, if you provide a formula for a quadratic equation that shifts upward, then give the formula and then state it is a quadratic equation that shifts upward.
Another example, if you have
• f(x) = x2 + 1 upward 6 units.
Then its answer is (x^2 +1) + 6 simplified to x^2 + 7.
If you have
• f(x) = (x + 6)2 to the right 10 units.
How is this shown in an equation? (if you know the formula, you will know how to do it that way as well?