Quadratics Quiz 1 Review

Describe the transformation of f(x) = x² represented by g.

• Vertical Compression by 1/3, translation down 2 units

• Horizontal Compression by 1/3, translation down 2 units

• Vertical Stretch by 3, translation down 2 units

• Horizontal Stretch by 3, translation down 2 units

Describe the transformation of f(x) = x² represented by g.

• Translation 4 units left, 2 units down

• Translation 4 units right, 2 units down

• Translation 4 units right, 2 units up

• Translation 4 units left, 2 units up

Describe the transformation of f(x) = x² represented by g.

• Reflection in the y axis, translation down 4 units

• Reflection in the x axis, translation down 4 units

• Reflection in the y axis, translation up 4 units

• Reflection in the x axis, translation up 4 units.

Let g be a translation 2 units up, followed by a reflection in the x-axis and a vertical stretch by a factor of 4 of the graph of f(x) = x²

• 4x² + 8

• -4x² + 8

• 4x² - 8

• -4x² - 8

Find the particular equation of the quadratic function containing the given ordered pairs (3, - 9), (- 2, 21), (- 1, 11). Write your answer in the form y = ax² + bx + c.

• $y=2x^2-21x+7$

• $y=3x^2-9x-6$

• $y=3x^2-9x+6$

• $y=x^2-7x+3$

Find the particular equation of the quadratic function containing the ordered pairs (- 2, 13), (2, - 15), (1, - 2). Write your answer in the form y = ax² + bx + c.

• $y=-2x^2-2x+7$

• $y=-2x^2-7x+7$

• $y=4x^2-2x+1$

• $y=4x^2+2x-15$

Write an equation of the parabola in intercept form that has x-intercepts of 9 and -3, and passes through (3, 4)

• $y=\frac{1}{9}\left(x-9\right)\left(x-3\right)$

• $y=-\frac{1}{9}\left(x+9\right)\left(x+3\right)$

• $y=-\frac{1}{9}\left(x-9\right)\left(x+3\right)$

• $y=\frac{1}{9}\left(x+9\right)\left(x+3\right)$

Write an equation of a parabola in vertex form that passes through (6,-1) and has vertex (14,-20)

• $y=\frac{19}{64}\left(x-14\right)^2-20$

• $y=\frac{9}{32}\left(x-14\right)^2-20$

• $y=\frac{19}{64}\left(x+14\right)^2-20$

• $y=-\frac{9}{32}\left(x-14\right)^2-20$

 The price of gasoline at a local gas station throughout the month of July in 2008 is modeled by the function below, where x = 1 corresponds to July 1st.  On what day in July did the price of gasoline reach its maximum? What was the highest price of gasoline in July 2008?
 $y=-\frac{1}{98}x^2+\frac{1}{7}x+\frac{7}{2}$  

• July 4; $3.50/gallon

• July 7; $3.50/gallon

• July 4; $7/gallon

• July 7; $4/gallon

The path a diver follows is given by y = -0.4(x – 4)² + 9 where x is the horizontal distance (in feet) from the edge of the diving board and y is the height (in feet). What is the horizontal distance from the edge of the board when the diver is at her maximum height? What is the maximum height of the diver?

• horizontal distance 9 ft; maximum height 4 ft

• horizontal distance 4 ft; maximum height 9 ft

• horizontal distance 2 ft; maximum height 9 ft

• horizontal distance 3 ft; maximum height 4 ft