Math-3 Semester-1 Version-1 Finals

Identify the transformations of the graph of ƒ(x) = x³ that produce the graph of the given function g(x). Then graph g(x) on the same coordinate plane as the graph of ƒ(x) by applying the transformations to the reference points (-1, -1), (0, 0), and (1, 1).

g(x) = 2(x+1)³+2

8 points

Graph the function. State the end behavior, x-intercepts, y-intercept, degree n, direction of the graph (uphill, downhill, facing up or down) and intervals where the function is above or below the x-axis.

f(x)= -(x+5)(x+1)²(x-2)

8 points

Write the given equation in vertex form: Show all the steps that lead to your answer (2 points)

y=x²+6x-2

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If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

• (5, -4)

• (-5, -4)

• (-15, -4)

• (15, -4)

The axis of symmetry line passes through which point?

• y-intercept

• any random point

• vertex

• symmetrical point for the vertex

Does this parabola have a minimum or maximum and what is its value?

• minimum: 2

• maximum: 2

• minimum: 5

• maximum: 5

What is the equation of this graph?

• f(x) = (x -5)² + 1

• f(x) = (x - 1)² - 5

• f(x) = (x + 1)² - 5

• f(x) = (x + 5)² +1

What are the x-intercept(s) of this graph?

• -1 and -3

• -1 and 3

• 1 and 3

• 1 and -3

What are the coordinates of the y-intercept?

• (-3, 0)

• (0, -3)

• (2, 1)

• y=-3