Question

*BRAINLIEST* The graphs below have the same shape. Complete the equation of the blue graph.​

Answer 1

Answer:

(x-2)^2

Step-by-step explanation:

The blue graph is shifted two units to the right of the "original" function x^2 (red). Let's recall the vertex form of a quadratic:

a (x-h)^2 + k

where a represents a constant that describes the opening of the parabola (up/down); h represents horizontal shift; and k represents vertical shift.

The blue graph is two units to the right (+2), there is NO vertical shift and NO change in how the parabola opens.

So, let's plug the appropriate values into vertex form:

(x-(+2))^2

= (x-2)^2