Question

Sorting Quadratic Function Discriminants
Warm-Up
Determine the number and type of zeros of the quadratic function based on the value of the discriminant.
discriminant = 0
2 Real Number Solutions 1 Real Number Solution
discriminant = -36
discriminant = 3
discriminant = 2
discriminant = 100
discriminant =-4
Intro
0 Real Number Solutions
✓ Done

Answer 1

The number of zeros of the quadratic functions, considering their discriminant, is given as follows:

• discriminant = 0: 1 Real number solution.

• discriminant = -36: 0 Real number solutions.

• discriminant = 3: 2 Real number solutions.

• discriminant = 2: 2 Real number solutions.

• discriminant = 100: 2 Real number solutions.

• discriminant = -4: 0 Real number solutions.

What is the discriminant of a quadratic equation and how does it influence the solutions?

A quadratic equation is modeled by:

$y = ax^2 + bx + c$

The discriminant is:

$\Delta = b^2 - 4ac$

The solutions are as follows:

• If $\mathbf{\Delta > 0}$, it has 2 real solutions.

• If $\mathbf{\Delta = 0}$, it has 1 real solutions.

• If $\mathbf{\Delta < 0}$, it has 0 real solutions.

Hence, for the given values of the discriminant, we have that:

• discriminant = 0: 1 Real number solution.

• discriminant = -36: 0 Real number solutions.

• discriminant = 3: 2 Real number solutions.

• discriminant = 2: 2 Real number solutions.

• discriminant = 100: 2 Real number solutions.

• discriminant = -4: 0 Real number solutions.

More can be learned about quadratic functions at https://brainly.com/question/24737967

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