Use transformations to help describe the differences and the similarities in the graphs of the quadratic functions. Verify using a graphing calculator.y = 2x2, y = 2(x + 3)2
A. The graph y = 2(x + 3)2 is shifted horizontally 3 units to the right of y = 2x2.
B. The graph y = 2(x + 3)2 is shifted vertically 3 units below y = 2x2.
C. The graph y = 2(x + 3)2 is shifted horizontally 3 units to the left of y = 2x2.
D. The graph y = 2(x + 3)2 is shifted vertically 3 units above y = 2x2.
Answer: C
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A certain animal population exhibits logistic population growth. The carrying capacity for this population is 500 individuals, and the r value for this type of animal is 0.07.
A. Write the equation of change for logistic growth for this population.B: Make a graph of versusN. Use population sizes up to 600.
C: For what values of N would the population be expected to increase?D: For what values of N would the population be expected to decrease?
What will be an ideal response?
Solve.ln(x) = 2
A.
B. {e2}
C. {2e}
D. {ln 2}
Write in decimal notation.8.54 × 107
A. 854,000,000 B. 597.8 C. 8,540,000 D. 85,400,000
Solve the triangle. Round lengths to the nearest tenth and angle measures to the nearest degree.A = 11.2°, C = 131.6°, a = 83.2
A. B = 37.2°, b = 320.3, c = 259 B. B = 37.2°, b = 259, c = 320.3 C. B = 36.8°, b = 256.6, c = 320.3 D. B = 37.2°, b = 26.7, c = 21.7