Hello,
-2<1 ==> f(x)=3x²-1 =>f(-2)=3*(-2)²-1=3*4-1=12-1=11
Answer:
y=3x^2 -15x-42
Step-by-step explanation:
Answer:
f(x) = -x -4 or f(x) = (-x)-4
Step-by-step explanation:
Let the graph of g be a translation of 4 units down followed by a reflection in the y-axis of the graph of f(x)=x. Write a rule for g.
Transformations can be found using this general formula: f(x) = a(bx-h)+k
For this question, we want a translation down as well as a reflection.
The two values we need to use are for k, a vertical translation, and b, a reflection over the y-axis.
Since we are translating down 4 units, k = -4
Since we are reflecting across the y-axis, b = -1
So, f(x)=(-x)-4
or
f(x)= -x -4
Answer:
see attached
Step-by-step explanation:
The graph is a series of horizontal lines. A solid dot goes wherever there is an "or equal to" symbol in the inequality. An open dot goes where the point is not included in the function definition (but nearby points are).
Step by step solution :
Step 1 :
Step 2 :
Pulling out like terms :
2.1 Pull out like factors :
2y + 8 = 2 • (y + 4)
Equation at the end of step 2 :
(0 - (4 • (4y - 10))) + 6 • (y + 4)
Step 3 :
Step 4 :
Pulling out like terms :
4.1 Pull out like factors :
4y - 10 = 2 • (2y - 5)
Equation at the end of step 4 :
(0 - 8 • (2y - 5)) + 6 • (y + 4)
Step 5 :
Step 6 :
Pulling out like terms :
6.1 Pull out like factors :
64 - 10y = -2 • (5y - 32)
Final result :
-2 • (5y - 32)
