Download presentation

Presentation is loading. Please wait.

1
Quads II Test Solutions

2
**Question #1 Determine the exact roots of 10(2x–3)(x+1)=0**

Therefore, the exact roots are (1.5, 0) and (-1, 0).

3
**Question #2 Write the equation of a parabola with no zeros.**

Positive a value with vertex above x-axis Negative a value with vertex below x-axis

4
Question #3 Write the equation, in vertex form, of the parabola shown below.

5
Question #4 a) Show an I/O diagram for the transformation of the graph y=x2 into y=3(x-2)2. Trace at least two input values through the diagram. -2 4 12 -1 -3 9 27 b) List, in order, the transformations to the base function y = x2 Horizontal shift right of 2 Stretch / compression of 3

6
Question #5 Algebraically, find two symmetrical points on the following parabola y=(x+3)(x-1)+100. Set y = 100 Therefore, (-3, 100) and (1, 100) are two symmetrical points.

7
Question #6 Express y = -x2 - 6x - 1 in vertex form using the method of completing the square. X 3 X2 3x 9 -8

8
Question #7a A stone is thrown upward with an initial speed of 25 m/s. Its’ height, h in meters, after t seconds, is given by the equation h = -5t2+25t+4 Therefore, the initial height of the stone is 4m.

9
**Question #7b How long is the stone higher than 25m?**

Total Time = = 2.86 Therefore, the stone was higher than 25m for 2.86 seconds.

10
Question #8a Superman has to leap over a tall building in order to rescue a “damsel in distress.” The building is 45m tall and 50m at its base. Superman starts and lands 20m from the building. Assuming that Superman jumps in perfect parabolic arches: (h is height, d is distance) Write an equation that could model the path of Superman’s flight. h = d(d-90)

11
Question #8b Superman has to leap over a tall building in order to rescue a “damsel in distress.” The building is 45m tall and 50m at its base. Superman starts and lands 20m from the building. Assuming that Superman jumps in perfect parabolic arches: (h is height, d is distance) According to your equation, what is Superman’s maximum height? Therefore, Superman will jump to a maximum height of 64.8m

12
Optional Question Find the equation of the quadratic relation with vertex (10, -2) that passes through the point (5, 3) and express the equation in standard form.

Similar presentations

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on indian treasury bills Ppt on philosophy of education Ppt on obesity prevention programs Ppt on fibonacci numbers in music Ppt on bionics instrument Ppt on archimedes principle for class 9 Maths ppt on real numbers class 10 Ppt on mobile device management Ppt on cube and cuboid Ppt on self development books