Quadratic Linear Systems

Find the solution(s).

• (3,18) and (-4, 15)

• (5,2) and (5,-9)

• (-4,-4)

• (-4,2)

Match the graph to its inequality.

• y > -x² - 5x - 6

• y > x² + x - 6

• y < x² - 5x + 6

• y < -x² - x + 6

Is the point (1, 6) in the solution set of
y < x² + 2x + 2? 
(hint: plug it in and test if it's a solution) 

• YES

• NO

Where is the AOS (Axis of Symmetry) for 
y = -2x²+4x+2

• x = 2

• x = 1

• x = -1

• x = 4

Which direction does the parabola open?
y = - x² +4x - 1

• up

• down

• left

• right

What are the green dots called?

• axis of symmetry

• vertex

• parabola

• roots or x-intercepts

How many real solutions does this system have? (x^2)+(y^2)=25 x+3y=15

Answer explanation

You need to find where the lines intercept each other.

2 solutions

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 desmos

• 4

• 2

• 1

• 0

Answer explanation

Those lines intersect one time!

Solve the system:

y=x^2

y=2-x

Answer explanation

Looking for the intercepting points

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

Answer explanation

No solutions, none, zero