Which steps transform the graph of y = x2 to y = –2(x – 2)2 + 2? (1 point)
translate 2 units to the left, translate down 2 units, and stretch by the factor 2
translate 2 units to the right, translate up 2 units, and stretch by the factor 2
reflect across the x-axis, translate 2 units to the left, translate down 2 units, and stretch by the factor 2
reflect across the x-axis, translate 2 units to the right, translate up 2 units, and stretch by the factor 2
What is the maximum or minimum value of the function? What is the range?
y = –2×2 + 32x –12
(1 point)
maximum: 116
range: y ≤ 116
maximum: –116
range: y ≥ –116
maximum: 116
range: y ≥ 116
maximum: –116
range: y ≤ –116
6.
A biologist took a count of the number of fish in a particular lake and recounted the lake’s population of fish each of the next six weeks.
Week 0 1 2 3 4 5 6
Population 350 353 382 437 518 625 758
Find a quadratic function that models the data as a function of x, the number of weeks. Use the model to estimate the number of fish at the lake on week 8.
(1 point)
P(x) = 13×2 – 10x + 350; 917 fish
P(x) = 13×2 – 10x + 350; 1,102 fish
P(x) = 18×2 + 10x + 300; 1,252 fish
P(x) = 18×2 + 10x + 300; 1,532 fish
7.
WorkPad
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Suppose a parabola has vertex (–4, 7) and also passes through the point (–3, 8). Write the equation of the parabola in vertex form.
(2 points)
8.
What is the vertex form of the equation?
y = x2 – 6x + 8 (2 points)