Quiz+on+Parabolas


 * Student Name:_**

**Quiz on Parabolas** //(Please use scrap paper provided and turn in all work)//

1. What is the equation of the axis of symmetry of the graph of y = -3x2 + 2x – 5? 2. Find the equation of the axis of symmetry of the graph of y = 4x2 – 5x +16. 3. Write the equation of the axis of symmetry, and find the coordinates of the vertex of the graph of each function. Identify the vertex as a maximum or minimum.

· y = -x2 + 2x + 3 · y = 2x2 + 12x – 11 · y = 9 - 8x + 2x2 4. The vertex of a parabola is at (-4, -3). If one x-intercept is -11, what is the other x- intercept? 5. A diver follows a path that is in the shape of a parabola. Suppose the diver’s foot reaches 1 meter above the height of the diving board at the maximum height of the dive. At that time, the diver’s foot is also 1 meter horizontally from the edge of the diving board. What is the distance of the diver’s foot from the diving board as the diver descends past the diving board? Explain. Draw out your work. 6. The equation n = 0.003x2 – 0.115x + 21.3 models the average ages of women when they first married since the year 1940. In this equation, n represents the average age and x represents the years since 1940. · Use what you know about parabolas and their minimum values to estimate the year in which the average age of brides was the youngest. · Estimate the average age of the brides during that year. 7. Draw two different parabolas with a vertex (2, -1). 8. Write a quadratic equation that represents a graph with an axis of symmetry with equation x = -(3/8). 9. Graph each function. Determine whether the vertex is a maximum or a minimum and give the ordered pair for the vertex. · y = x2 - 10x + 25 · y = -0.5x2 - 2x + 3 10. Find the coordinates of the vertex for the following equation: y = -3x2 - 6x + 4

Holliday, B., Cuevas, G., Moore-Harris, B., & Carter, J. (2005). //Algebra 1//. New York, New York: Glencoe McGraw Hill. ISBN # 0-07-865114-X
 * //Source for quiz problems://**