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(Answer) MATH114N – Week 8 Assignment: Graph a Quadratic Equation

QUESTIONS

Question 1

Find the x- and y-intercepts of the parabola y = 2x2 + 9x + 20.

Enter each intercept as an ordered pair (x, y). Use a comma to separate the ordered pairs of multiple intercepts. You may enter an exact answer or round to 2 decimal places. If there are no solutions or no real solutions for an intercept enter ∅.

Question 2

Graph the parabola y=x2 + 3 by plotting any three points on the parabola.  Move the key points on the graph to create the parabola.

Question 3

Graph the parabola y = x2 − 2 by plotting any three points on the parabola. Move the key points to graph the parabola below.

Question 4

Find the axis of symmetry and vertex for the parabola y = −4x2 − 32x −10.

Question 5

Find the x- and y-intercepts of the parabola y= −3x2 − 5x + 6.

Enter each intercept as an ordered pair (x, y). Use a comma to separate the ordered pairs of multiple intercepts. You may enter an exact answer or round to 2 decimal places. If there are no solutions or no real solutions for an intercept enter ∅.

Question 6

Find the axis of symmetry and vertex for the parabola y= x2 − 8x + 2.

Question 7

Graph the parabola y = −x2 − 4 by plotting any three points on the parabola.  Move the key points on the graph to create the parabola.

Question 8

Graph the parabola y= −x2 + 1 by plotting any three points on the parabola.  Move the key points to graph the parabola below.

Question 9

Find the x- and y-intercepts of the parabola y= −2x2 − 5x + 1.

Enter each intercept as an ordered pair (x, y). Use a comma to separate the ordered pairs of multiple intercepts. You may enter an exact answer or round to 2 decimal places. If there are no solutions or no real solutions for an intercept enter ∅.

Question 10

Find the x- and y-intercepts of the parabola y= −3x2 − 10x − 10.

Enter each intercept as an ordered pair (x, y). Use a comma to separate the ordered pairs of multiple intercepts. You may enter an exact answer or round to 2 decimal places. If there are no solutions or no real solutions for an intercept enter ∅.

Question 11

Find the axis of symmetry and vertex for the parabola y= −4x2 − 40x + 6.

Question 12

Find the axis of symmetry and vertex for the parabola y= −5x2 − 10x − 5.

ANSWERS:

Question 1

Find the x- and y-intercepts of the parabola y = 2x2 + 9x + 20.

Enter each intercept as an ordered pair (x, y). Use a comma to separate the ordered pairs of multiple intercepts. You may enter an exact answer or round to 2 decimal places. If there are no solutions or no real solutions for an intercept enter ∅.

Answer: x-intercept = (); y-intercept = (0,20)​

Question 2

Graph the parabola y=x2 + 3 by plotting any three points on the parabola.  Move the key points on the graph to create the parabola.

Answer:

Question 3

Graph the parabola y = x2 − 2 by plotting any three points on the parabola. Move the key points to graph the parabola below.

Answer:

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