Quadratic Systems Practice

Determine the solution to the given linear-quadratic function.

• (0, 0)

• (3, 0)

• (2, -3)

• (-3, 2)

Find the solution(s).

• (3,18) and (-4, 15)

• (5,2) and (5,-9)

• (-4,-4)

• (-4,2)

How many points of intersection are there between the graphs of f(x)=(x^2)+4 and g(x)=6x-5? Hint with systems put them in the calculator

• 4

• 2

• 1

• 0

Answer explanation

Those lines intersect one time!

What are the solutions to this quadratic/ linear system?

• no solution

• (3,0) and (4, 5)

• (0,3) and (4, -5)

• (3,4) and (0,-5)

How many points of intersection are there between the graphs of y=(x^2) and y=-3?

• 0

• 1

• 3

• 4

Answer explanation

If you notice the blue line y=-3 and the red quadratic y=(x^2) do not cross so the point of intersection is none.

How many points of intersection are there between the graphs f(x)=(-x^2)+3 and g(x)=1

Use Calculator :)

• 4

• 2

• 1

• 0

Answer explanation

g(x)=1 intersected with f(x)=(-x^2)+3 twice give this system two solutions.

The Quadratic and Linear Systems DO NOT intersect so there are _________ solutions.

Answer explanation

No solutions, none, zero

How many zeros does this parabola have? 

• 3

• 2

• 0

• 1

How many solutions does this graph have?

• one

• two

• no solutions

• all real numbers

What is the equation of the axis of symmetry?

• y = 0

• x = 0

• x = 3

• x = -3