Yes but I’m not sure what you are trying to ask <3
Graph A is the correct answer tell me if you need a step by step explanation
Answer: The function is: f(x) = 2*(x +1)
Step-by-step explanation:
This can be translated to:
"write an equation of a function where a whole number x corresponds to the next number to x"
the next whole number to x is x+1., and we want the double of that.
Then we have that our function is:
f(x) = 2*(x +1)
Now we can do a little table of it:
f(0) = 2*(0 + 1) = 2
f(1) = 2*(1 + 1) = 4
f(2) = 2*(2+ 1) = 6
The answer should be (6,-1)
Explanation:
Focus on point A since it's asking for that. Then, shift it down vertically -8.
This means you are shifting A down 8 units.
Then they ask for a reflection across the y-axis. The y-axis is the vertical line in the middle, so to do this transformation, just change the x-value of where A is to the opposite.
One form of the equation of a parabola is
y = ax² + bx + c
The curve passes through (0,-6), (-1,-12) and (3,0). Therefore
c = - 6 (1)
a - b + c = -12 (2)
9a + 3b + c = 0 (3)
Substitute (1) into (2) and into (3).
a - b -6 = -12
a - b = -6 (4)
9a + 3b - 6 = 0
9a + 3b = 6 (5)
Substitute a = b - 6 from (4) into (5).
9(b - 6) + 3b = 6
12b - 54 = 6
12b = 60
b = 5
a = b - 6 = -1
The equation is
y = -x² + 5x - 6
Let us use completing the square to write the equation in standard form for a parabola.
y = -[x² - 5x] - 6
= -[ (x - 2.5)² - 2.5²] - 6
= -(x - 2.5)² + 6.25 - 6
y = -(x - 2.5)² + 0.25
This is the standdard form of the equation for the parabola.
The vertex us at (2.5, 0.25).
The axis of symmetry is x = 2.5
Because the leading coefficient is -1 (negative), the curve opens downward.
The graph is shown below.
Answer: y = -(x - 2.5)² + 0.25