Intersection of Linear and Quadratic

Which lines A,B,C or D represents a factor of the quadratic graph shown?

• Line A

• Line B

• Line C

• Line D

• (0,-3) and (2.4, 1.8)

• (3, 0) and (2.4, 1.8)

• (-3,0) and (-2.4, -1.8)

• (0,3) and (-2.4, -1.8)

Tags

CCSS.HSA.REI.C.7

Find the solution:
y = x² - 4x + 6
y = x + 2

• (3, 1) and (6, 4)

• (-1, 1) and (4, 2)

• (1, 3) and (4, 6)

• (1, 4) and (3, 6)

What are the coordinates of the intersection of the graph of these two equations shown below?

Tags

A.3F

Find the solution(s).

y = x² + 4x + 2

y = -x² + 3x +2

• (0,2) and (1,2)

• (-5.6) and (-0.5, 0.25)

• (0,2) and (-5.6, 0)

• (0,2) and (-0.5, 0.25)

What are the solutions to the graphed system?

• (0,-4),(0,-2)

• (-2,0),(1,-3)

• (0,-2),(-3,1)

• (-2,0),(2,0)

Determine the number of solutions to the given linear-quadratic system.

• There are four solutions to the linear-quadratic system at the two points of intersection.

• There are zero solutions to the linear-quadratic system.

• There are two solutions to the linear-quadratic system at the two points of intersection.

• There are two solutions to the linear-quadratic system at the four points of intersection.

Mateo produced the following table on his calculator to find the solutions to a linear-quadratic system of equations. Based on this table, which of the following sets gives the x-values that solve this system?

• {-4, 2}

• {3, 6}

• {-4, 3}

• {-2, 1}

Which of the following is a solution to the system of equations:
y = x² - 9
y = x + 3

• (4, 7)

• (3, 0)

• (-4, -1)

• (2, 5)