Respuesta :
We obtain our desired quadratic graph by shifting y = x² 3 units right, and then shifting it 1 unit down in the coordinate plane.
What is a quadratic function?
Quadratic equations are the polynomial equations of degree 2 in one variable of type f(x) = ax² + bx + c where a, b, c, ∈ R and a ≠ 0. It is the general form of a quadratic equation where 'a' is called the leading coefficient and 'c' is called the absolute term of f (x).
What is the graph of a quadratic function?
The graph of a quadratic function is called a parabola and has a curved shape. One of the main points of a parabola is its vertex.
What is shifting of graph?
A shift is a rigid translation in that it does not change the shape or size of the graph of the function.
The quadratic equation y = x² is given.
Our desired quadratic equation is y = (x - 2)² - 1
If we shift the graph of the given quadratic equation by three units right we will have to replace x by x -3.
So, our equation would change the form to the following quadratic equation
y= (x - 3)² ... (1)
If we shift the graph of quadratic equation 1 by one units down we will have to replace x by x - 1. So, our quadratic equation would change the form to the following equation
y = (x - 3)² + 1
This is
Hence the correct option is a.
To learn more about quadratic equation: https://brainly.com/question/2263981
