1. MONDAY (5/18): Which of the following functions matches the graph to the right
1 answer:
Answer:
a.) f(x) = -⅙(x+3)²+6
Step-by-step explanation:
The maximum value, our vertex, is at point (-3,6).
We can insert this value into the vertex form of a quadratic function and then solve for a as follows...
a equals -1/6... We can input this into the original equation we used...
f(x) = -1/6(x+3)^2+6
Good luck on the bellwork ;)
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Answer:
Step-by-step explanation:
Use the slope-intercept form:
m is the slope and b is the y-intercept. Looking at the graph, you can find the y-intercept. The y-intercept is the point where x equals 0:
To find the slope, take any two points from the line:
Use the slope formula for when you have two points:
The rise over run is the change in the y-axis over the change of the x-axis. Insert the appropriate values:
Simplify parentheses (two negatives makes a positive):
Simplify (two negatives make a positive):
The slope is and the y-intercept is
. Insert these into the equation:
Finito.