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:
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Explanation:
The text and the model are garbled.
This is the question amended:
<em />
<em>Hyun Woo is riding a ferris wheel. H(t) models his height (in m) above the ground, t seconds after the ride starts. Here, t is entered in radians.</em>
<em>H(t) = -10 cos(2π/150 t)+10</em>
<em />
<em>When does Hyun Woo first reach a height of 16 m?</em>
<em />
<h2>Solution</h2>
<em />
When <em>Hyun Woo reaches a height of 16 m</em> the <em>model </em>states:
- <em>16 = -10 cos(2π/150 t)+10</em>
<em />
Then you must find the lowest positive value of t that is a solution of the equation.
Solve the equation:
- <em>16 = -10 cos(2π/150 t)+10</em>
- t = 52.86s ≈ 53 s ← answer
Answer:
Oh dear, Prodigy?
Step-by-step explanation:
*basically ea math game*
uh let's see...
1.3333333333333 mg
Answer:
1)An angle bisector is basically the division of an angle into two equal parts, so you should just draw a line in the middle after you found the angles using the compass
2) parallel lines is a pair of lines that never intersect, and are always the same distance apart. you should use the compass to draw a 90-degree angle at the end of the line XY, and use the straightedge to draw a line that is parallel to the line XY.
Solve your equation step-by-step.
x2+4x+4=0
Factor left side of equation.
(x+2)(x+2)=0
Set factors equal to 0.
x+2=0
or
x+2=0
x=−2
