Answer:
The value of n is -6
Step-by-step explanation:
- If the function f(x) is translated k units up, then its image is g(x) = f(x) + k
- If the function f(x) is translated k units down, then its image is g(x) = f(x) - k
- The vertex form of the quadratic function is f(x) = a(x - h)² + k, where a is the coefficient of x² and (h, k) is the vertex
∵ k(x) = x²
→ Its graph is a parabola with vertex (0, 0)
∴ The vertex of the prabola which represents it is (0, 0)
∵ The given graph is the graph of p(x)
∵ Its vertex is (0, -6)
∴ h = 0 and k = -6
∵ a = 1
→ Substitute them in the form above
∴ p(x) = 1(x - 0)² + -6
∴ p(x) = x² - 6
→ Substitute x² by k(x)
∴ p(x) = k(x) - 6
∵ p(x) = k(x) + n
→ By comparing the two right sides
∴ n = -6
∴ The value of n is -6
Look at the attached figure for more understanding
The red parabola represents k(x)
The blue parabola represents p(x)
Answer:
50 degrees =0.873 radian
Formula 50 degrees x π/180= 0.8727 radians
Answer:
All of the whole numbers
Step-by-step explanation:
absolute value" means to remove any negative sign in front of a number, and to think of all numbers as positive
The lease common multiple of the set of numbers is 108.
108/4=27.
108/27=4.
108/12=9.
Answer: Table H would be the correct answer;
The rule of a function is that for each x-value given there can't be more than 1 y-value
<u>In Table F:</u>
x = -13, then y = -2
x = -13, then y = 0
x = -13, then y = 5
x = -13, then y = 7
For the x-value -13, there are 4 different y-values, so <em>it's not a function.</em>
<u>In Table G:</u>
x = -6, then y = 3
x = -1, then y = -1
x = -1, then y = 5
x = 10, then y = -9
For the x-value -1, there are 2 different y-values, hence <em>this isn't a function.</em>
<u>In Table H:</u>
x = 1, then y = 4
x = 3, then y = 4
x = 7, then y = 4
x = 12, then y = 4
For each x-value, there is only 1 y-value, so <em>this is a function.</em>
<u>In table J:</u>
x = -9, then y = -7
x = -2, then y = -5
x = 0, then y = 0
x = 0, then y = 6
For the x-value 0, there are 2 different y-value therefore <em>this isn't a function</em>
Hope this helps!
