Quadratic Equations Assignment?

Question

1. When the quadratic equation y = (x − 5)(2x + 3) is written in standard form, what is the value of the coefficient "b"?
 	A. 7
	B. −7
	C. 2
	D. −15
2. Identify which equation is a quadratic equation.
        A. y = −5x − 3
	B. y = −4x(x + 10) + 34
	C. y + x2 = (x − 4)(x + 3)
	D. y − 2 = (x − 2)(x2 + 1)
3. Determine whether the graph of y = −2x2 − 3x + 10 opens up or down and whether it has a maximum or minimum point.
 	A. Down and Maximum
	B. Down and Minimum
	C. Up and Maximum
	D. Up and Minimum
4. What is the vertex for the graph of y = −3x2 + 18x − 13?
 	A. (−3, −40)
	B. (−3, −94)
	C. (3, 23)
	D. (3, 14)
5. The graph of which equation is shown below? 
        A. y = −x2 + 2x − 3
	B. y = −x2 − 2x − 3
	C. y = x2 + 2x − 3
	D. y = x2 − 2x − 3
6.What are the solutions of x2 + 8x − 20 = 0?
 	A. x = 2, x = 10
	B. x = −2, x = −10
	C. x = 2, x = −10
	D. x = −2, x = 10
7. What are the x-intercept(s) of the graph of y − x2 = −8x − 9?
 	A. (−1, 0) and (9, 0)
	B. (1, 0) and (−9, 0)
	C. (−1, 0) and (−9, 0)
	D. (1, 0) and (9, 0)
8.What are the solutions of 4x2 − 4x − 3 = 0?
 	A. x = −1/2, x = 
	B. x = 1/2 , x = −
        C. x = 1/4, x = −3
	D. x = −1/4, x = 3
9.Solve 3x2 = 12x.
 	A. x = 0, x = 4
	B. x = 0, x = −4
	C. x = 3, x = 4
	D. x = 3, x = −4
10. 	Part 1: Solve each of the quadratic equations below and describe what the solution(s) represent to the graph of each. Show your work to receive full credit.x2 − 25 = 0 and x2 = 2x + 15 

Part 2: Using complete sentences, compare and contrast the graphs of y = x2 − 25 and y + x2 = 2x + 15.
 
11. 	
Part 1: Given y = x2 − 14x + 24 determine the following. Use complete sentences and show all work to receive full credit.

Does the graph open up or down? How do you know?
Explain whether the graph has a maximum or minimum point.
Find the vertex and x-intercepts of the graph.
Part 2: Create your own unique quadratic equation in the form y = ax2 + bx + c that opens the same direction and shares one of the x-intercepts of the graph of y = x2 − 14x + 24. Determine the following. Use complete sentences and show all work to receive full credit.

Explain whether the graph has a maximum or minimum point.
Find the vertex and x-intercepts of the graph.

NOTE: If you're just going to answer telling me to do my own work please don't waste your breath, I just need help on this section so the real answers i get I'll appreciate so thank you!

Michelle ☺ · Accepted Answer

1.) B
2.) B
3.) A
4.) D
5.) There is no graph, can't answer it.
6.) C
7.) A
8.) The choices are incomplete, but the solutions are -1/2 and 1.5. I think it's A since it has one point of the solution.
9.) A
10.) Part 1: The solutions to the first equation are -5 and 5 so the axis of symmetry is right at the origin.
       The solutions to the second equation are 5 and -3.
        Part 2: The graphs both have 5 as a solution, the they both open downward, they both have two    solutions, but they have a different axis of symmetry.
11.) Part 1: The graph opens up because the a value (which in this equation is x or 1 is positive). It has a minimum point. The x intercepts are 12 and 2. The vertex is at (7,-25).
Part 2: I think you should try that yourself, but if you still can't get it please ask.

If you need any explanations for any of these answers please ask. Sorry I couldn't include explanations the answers already took a lot of space.

Iggy Rocko · Answer

1) y = (x â 5)(2x + 3)
y = 2x^2 + 3x - 10x - 15
y = 2x^2 - 7x - 15
b = -7

One question at a time.

Quadratic Equations Assignment?

Related Questions

Trending Questions