Solving Linear and Quadratic Systems - Graphically

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

• 0 solutions

• 1 solution

• 2 solutions

• 3 solutions

Tags

CCSS.HSA.REI.C.7

Determine the solution(s) to the graphed system. Select all that apply.

• (1, 0)

• (0, 1)

• (-3, 4)

• (4, -3)

Tags

CCSS.HSA.REI.C.7

Determine the solution to the given linear-quadratic function.

• (0, 0)
• (3, 0)
• (2, -3)
• (-3, 2)

Tags

CCSS.HSA.REI.C.7

Which graph correctly represents:

 $y=x^2$  
 $y=-2x+1$  

• 
• 
• 
• 

Tags

CCSS.HSA.REI.C.7

Which system is shown on the graph?

• $y=x+6$
  $y=x^2-3$
  

• $y=x+6$
  $y=-x^2-3$
  

• $y=-x+6$
  $y=x^2-3$
  

• $y=-x+6$
  $y=x^2+3$
  

Tags

CCSS.HSA.REI.C.7

Which system of equations matches the graph?

• $y=x+8$
  

  $y=-(x+5)^2$

• $y=(x+5)^2$
  $y=x-8$
  

• $y=(x+5)^2$
  $y=x+8$
  

• $y=(x-5)^2$
  $y=x+8$
  

Tags

CCSS.HSA.REI.C.7

How many solutions does this system of equations have?

• one solution

• two solutions

• no solutions

• not possible to determine

Tags

CCSS.HSA.REI.C.7

What is the equation, in vertex form, of the quadratic function whose graph shown?

•  $y=\left(x-3\right)^2+5$  
  

•  $y=-\left(x-3\right)^2+5$  
  

•  $y=\left(x+3\right)^2+5$  
  

•  $y=-\left(x+3\right)^2+5$  
  

Tags

CCSS.HSF-IF.C.7A

Which linear function, if graphed on the same coordinate plane as the parabola shown, would form a system of equations with NO solution? 

•  $y=5$  
  

•  $y=8$  
  

•  $x=3$  
  

•  $y=-5$  
  

Tags

CCSS.HSA.REI.C.7

Which linear function, if graphed on the same coordinate plane as the parabola shown, would form a system of equations with ONE solution? 

•  $y=5$  
  

•  $y=8$  
  

•  $x=3$  
  

•  $y=-5$  
  

Tags

CCSS.HSA.REI.C.7