Question

Drag each tile to the correct box.

Order the quadratic functions from least to greatest based on the number of x-intercepts of each function.

Answer 1

Answer: Please observe the attached image.

First image has one x-intercept, second image has 0 x-intercepts and third image of a quadratic equation has 2 x-intercepts.

Explanation:

Given vertex at (2,0) and y-intercept (0,4).

We can see that vertex is at x-axis at x=2.

Therefore, x-intercept for first one is 1.

In second graph, we can see that parabola (graph) doesn't crossing out x-axis.

Therefore, there is no any x-intercept for second graph.

And for third one we are given a quadratic equation
`x^2+x-2=0`

could be factored as (x-2)(x+1) =0

Applying zero product rule, we get

x-2=0 => x= 2

x+1=0 => x=-1.

Therefore, first image has one x-intercept, second image has 0 x-intercepts and third image of a quadratic equation has 2 x-intercepts.