Question

Learning Task 1. Tell whether each picture models a quadratic function or not.
Justify your answer.
GIVEN
Answer
WHY?
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Answer 1

The picture for this question is given below.

Answer: All of them models quadratic function.

Step-by-step explanation: A quadratic function is of the form

f(x) = ax² + bx + c, with coefficient a≠0.

This function has a U-shape graphic called parabola. It has a vertex, i.e., a point where the curve changes, which is "classified" as minimum, if the parabola opens up; and as maximum, if the parabola opens down.

The y-intercepts are the points where the curve touches the y-axis and x-intercepts, if they exist, are the roots of the function.

The three pictures below shows three U-shaped curves opening down. This means the three parabolas are representation of 3 different quadratic functions, with a 3 vertex points that are maximum.

Answer 2

Quadratic functions are functions that follow a uniform curve path.

The first picture does not represent a quadratic function, while the other two pictures model a quadratic function.

To identify a quadratic function, we make use of the following observations.

• The function must follow a uniform curved path
• The function must have a vertex i.e. maximum or a minimum
• The function must be represented as: $\mathbf{y = ax^2 + bx + c}$

From the question (see attachment for pictures), we can see that:

• The first picture models several quadratic functions, because several uniform curves are represented on the picture.
• The second and the third picture model exactly one quadratic function, because both pictures have a uniform curve, and they have a single maximum point.

Hence, the first picture does not represent a quadratic function, while the other two pictures model a quadratic function.

Read more about quadratic functions at:

https://brainly.com/question/23094373