Which equation is equivalent to f(x) =-4(x+7)^2-6
1 answer:
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Answer:
Step-by-step explanation:
Hello!
A linear function is written in the form of , where m is the slope and b is the y-intercept.
Each of these expressions can be converted to coordinate form, (-2,9) and (6,7).
<h2>Slope</h2>Slope can be calculated by the difference in the x-values divided by the difference in the y-values.
Solve
The slope is -1/4.
<h2 /><h2>Y-intercept</h2>The y-intercept is found by plugging in the x and y values of a coordinate and the slope and then solving for b.
Solve
We can find the equation by simply plugging in all the values that we found.
Equation:
Answer:
Solution set = {-12, 12}
Step-by-step explanation:
Start by dividing both sides of the given equation by negative one, to get rid of the negative signs on both sides:
Now we consider the two possible cases:
1) The expression inside the absolute value symbol is a positive number, then :
and replacing it in the equation, this becomes:
which is our first answer.
2) The expression inside the absolute value symbol is a negative number, then :
and replacing it in the equation, this becomes:
which is our second possible answer.
Then the set of solutions is: {-12, 12}