Joe has 45 minutes to go to soccer practice. He spent 20 minutes eating a snack and the rest of the time doing Homework. Write a
1 answer:
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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.
Answer:
The equation is a function
Step-by-step explanation:
-3x + 8 = y
Reverse the function.
y = -3x + 8
Draw a graph of y vs x (below)
To determine if the relation is a function, we can use the vertical line test:
If a vertical line crosses the graph more than once in any location, the relation is not a function.
We see that at no place will a vertical line intersect the graph more than once.
The relation is a function.
