Question

Use the Parabola tool to graph the quadratic function. f(x)=(x−1)2−4

Answer 1

See explanation

Explanation:

The quadratic function f(x) is defined by its equation
`f(x)=(x-1)^2-4`

From this equation, you can see such things:

• the vertex of the parabola is at the point (1,-4);
• parabola goes upward, because the leading coefficient is 1 (more than 0);
• parabola intersects y-axis at the point (0,-3);
• parabola intersects the x-axis at points (-1,0) and (3,0), because

`y=0\Rightarrow (x-1)^2-4=0\\ \\(x-1)^2=4\\ \\x-1=2\ \text{or}\ x-1=-2\\ \\x=3\ \text{or}\ x=-1`

So, you can plot the graph of this parabola (see attached diagram)