( r, i ) Price of Bread ($) Date: Name: 4. What are the vertex and v intercept of the quadratic function f(x) = 2 + 3x 3x2? page 1

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1 Name: Date: 1. The area of a rectangle in square inches is represented by the epression The length of the rectangle is + 4 inches. What is an epression for the width of the rectangle in inches? 2. What are the -intercepts for the function f()= 2-t-2 15? 5. This parabola shows the relationship between the amount of money a baker earns from bread sales each day and the price the baker charges for each loaf of bread A. (0, 5), (0,3) (0,5), (0, 3) (5,0),( 3,0) ( 5,0),(3,0) 3. Which is the y-intercept for the function f() = 3 6? Cl) Cl) A. (0, 6) ( 6. 0) (0, 2) (2, 0) 4. What are the verte and v intercept of the quadratic function f() = ? Price of Bread ($) Based on the parabola, what price should the baker charge for each loaf of bread to earn the greatest amount of money from bread sales each day? ( A. verte:, i ) verte: (._i) verte: (,i) verte: ( r, i ) v intercept: 2 y intercept: 2 y intercept: 2 y intercept: 2 6. Which of the following sentences is true about the graphs of y = 3( 5) 2 + I andy = 3(+5) A. Their vertices are maimums. 2 I? The graphs have the same shape with different vertices. The graphs have different shapes with different vertices. One graph has a verte that is a maimum, while the other graph has a verte that is a minimum. page 1

2 2.1 - Quadratic Functions 7. Which is the graph of y = 2( 1)2 + 1? 8. Which ordered pair f() ? is the verte of A. A. ( 3, 4) ( 2, 3) ( 1,0) (0, 5) 9. Which of the following represents a parabola? A.2+v 2=r 2 y. + =l a2 b2 4p=y 2 Y a b V 10. How does the graph of f() = 2 + the function is changed to 10 f() = 2 + change if 10 A. The graph does not change at all. The y-intercept would be slope would remain the same. The slope would be different, but the different, but the Y-intercept would remain the same. Both the Y-intercept and the slope of the graph would change. 7ttIIII1IJ liilitii page 2

3 11. Look at the function that is graphed below. 12. Look at the graph below. y S What are the maimum and minimum values of this function? A. maimum 15. minimum -5 maimum 25, minimum 15 Which of these terms describes the v-coordinate of the point (2, 6)? maimum 25, minimum 10 maimum 30, minimum 10 A. zero minimum intercept maimum page 3

4 2.1 Quadratic Functions ) 13. Doug makes a rectangular dog pen using 8 yards of fencing. The graph below shows the relationship between the width of the pen and the area of the pen. 14. Look at the function that is graphed below. I 0 Which of these statements about this function is true? Width of Pen (in yards) in the ordered pair (2, 4), what does the v-coordinate represent? A. maimum area of the pen A. The minimum value is 2. The minimum value is 3. The maimum value is 3. The maimum value is 5. maimum width of the pen maimum length of the pen maimum perimeter of the pen page 3

5 15. Which graph represents the function y = ( 2)2+3? A. 16. What is the solution set of the quadratic equation 82 + Zr + 1 = 0? A. {} ç i+ i no real solution [ 6 4J. 5.,t page 5

6 17. Which best represents the graph of y = A. Y]i: 2 + 3? 18. Which quadratic function, when graphed, has -intercepts of 4 and 3? A. y=( -3)(+4) y=(+3)(2 8) y=(3 1)(4+l) y=(3+l)(8 2) 19. How many times does the graph ofy=2 intersect the -ais? A. none one two three rrrf[fl 20. An object that is projected straight downward with initial velocity v feet per second travels a distance s = Vt + 16t2, where t = time in seconds. If Ramón is standing on a balcony 84 feet above the ground and throws a penny straight down with an initial velocity of 10 feet per second, in how many seconds will it reach the ground? A. 2 seconds 3 seconds 6 seconds 8 seconds y 21. A ball is tossed into the air. The height of the ball as a function of time can be described by the t. In this equation h is the equation h = 16t height of the ball in feet and t is time in seconds. After how many seconds will the ball hit the ground? -. iui A. 4 seconds 4.5 seconds 9 seconds 56 seconds -ì page 6