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Answer:
The quadratic function whose graph contains these points is
Step-by-step explanation:
We know that a quadratic function is a function of the form . The first step is use the 3 points given to write 3 equations to find the values of the constants <em>a</em>,<em>b</em>, and <em>c</em>.
Substitute the points (0,-2), (-5,-17), and (3,-17) into the general form of a quadratic function.
We can solve these system of equations by substitution
- Substitute
- Isolate a for the first equation
- Substitute
into the second equation
- Find the value of b
- Find the value of a
The solutions to the system of equations are:
b=-2,a=-1,c=-2
So the quadratic function whose graph contains these points is
As you can corroborate with the graph of this function.
