Learning Task 1. Tell whether each picture models a quadratic function or not.
1 answer:
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 <u>parabola</u>. It has a <em><u>vertex</u></em>, i.e., a point where the curve changes, which is "classified" as <em><u>minimum</u></em>, if the parabola opens up; and as <em><u>maximum</u></em>, 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. <u>This means the three parabolas are representation of 3 different quadratic functions, with a 3 vertex points that are maximum.</u>
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Multiply the denominators with the numerators and write in one line, then solve for d.
we have that
Step 1
<u>Find the y-intercept</u>
we know that
The y-intercept is the value of f(x) when the value of x is equal to zero
For
Point
Step 2
<u>Find the value of f(x) for </u>
Point
Step 3
<u>Graph the point A and B to find the solution</u>
therefore
the answer in the attached figure
