Grade 10 Academic: Unit Test: Quadratic Relations Name: KU TI App COM Date: 20 15 11 6 Knowledge & Understanding 1. Use finite differences to determine whether each function is linear, quadratic or neither. [6 marks] K y 1st 2nd 2 3 5 10 ::: y 1st 2na 2 1 4 2 6 3 X y 1st 2nd 1 3 2 4 3 7 4 122. Evaluate the following. (Only answers with fractions will be marked!!) 17 [1 mark] b. (-4) [2 marks] c. [2 marks] d. 10" [2 marks] Thinking & Inquiry 4. Without sketching the parabola state the direction of the opening, the coordinates of the vertex, the equation of the axis of symmetry, the domain and range and the maximum or minimum value. [6 marks] Function Direction Coord. of vertex Axis of Domain Range Max or Min of opening symmetry Value y = (x+3)* - 1 y = -2(x-5) - 2 5. Determine an equation, in vertex form, for the parabola that has a vertex (-6, 4) and passes through (-5, 3). [4 marks]Determine an equation, in factored form, for the graph below. [5 marks] Communication Describe the effect of a negative exponent on a number or term and give an example. [2 marks] Applications 7. Sarah won a multi-million dollar lottery. She decides to give $1,000,000 of her winnings to charity. -or 2-1 Her plan is to give 2 to charity in January, and then give half of the remaining amount in March, half again in May, and so on (i.e. every two months). a. What fraction remains after 6 months? [1 mark] b. What fraction remains after 12 months? [1 mark]C. Write each fraction as a power of 2 with a negative exponent. [2 marks] h =- (d -26)2 +35 8. The path of a ball is modeled by the where d is the horizontal distance, in meters, after the ball was kicked, and h is the height, in meters, above the ground. 3. What is the maximum height of the ball? [1 mark] b. What is the horizontal distance when this occurs? [1 mark] C. What is the height of the ball at a horizontal distance of 20m [2 marks] 4