At zero, the value of the function is zero. It then rises to its maximum value, then falls to zero and then to its minimum value and then back to zero.
So, the graph follows the pattern of Sine Function: <span>(B. zero-max-zero-min-zero) starting at the origin. This suggest the coefficient a of the sine function is positive.
Maximum value of the function as seen from the graph is 5, and the minimum value is -5. So the amplitude of the function is 5 and the vertical translation k = 0 as the graph rises equally above and below x-axis.</span>
Answer:
Step-by-step explanation:
Since G(0) = g(0) = 20, the parabolic graphs of these functions share a y-intercept: (0, 20).
Completing the square puts these equations into vertex form, which simplifies comparisons of the graphs:
G(x) = 2x^2 - 12x + 20 becomes
2(x^2 - 6x + 9 - 9) + 20, or
2(x - 3)^2 - 18 + 20, or 2(x - 3)^2 + 2. Comparing this result to
a(x - h)^2 + k, we see that the vertex is located at (3, 2).
Going through the same process for g(x) 2x^2+12x+20, we get:
g(x) = 2(x + 3)^2 + 2, whose vertex is at (-3, 2).
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Answer:
20
Step-by-step explanation:
4x + 5x = 180
9x = 180
/9 /9
x = 20
:)
Answer:
x=19
Step-by-step explanation:
24-5=19
