Solving Quadratics by Graphing

A function that can be written in the form f(x)=ax²+bx+c

(a)  

An equation that can be written in the form ax²+bx+c

(a)  

Match the following

• solutions

• the x-values of the x-intercepts

• roots

• the coordinate points where a graph intersects the x-axis

• zeros

• the x-values where f(x)=0

• linear factors

• another name for the solutions of an equation

• x-intercepts

• the sign in these is the opposite of the sign for the zeros, solutions, roots, and x-intercepts

Tags

CCSS.HSF-IF.C.7C

What are the solutions to x²+8=6x?

• (2,0) and (4,0)

• x=2 and x=4

• (0,2) and (0,4)

• x=-2 and x=-4

Tags

CCSS.HSA-REI.B.4B

what are the x-intercepts of x²=9

• (-3,0) and (3,0)

• (0,3) and (0,-3)

• x=-3 and x=3

• (3,-3)

Tags

CCSS.HSA-REI.B.4B

What is the graph of x²=14x-49?

• 
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• 
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To solve a quadratic equation using ​ (a)   , find the ​ (b)   of the function from its table.

• tables
• chairs
• charts
• boxes
• x-intercepts
• y-intercepts
• vertex
• minimum
• maximum

What is the exact solution found in this table?

• x=0

• x=-2

• x=2

• x=3

Tags

CCSS.HSF.IF.A.2

What is the approximate solution found in this table?

• 0<x<2

• 2<x<3

• 2>x>3

• x=2.5

To solve a quadratic equation by ​ (a)   , factor the ​ (b)   side of the equation, if possible. Then use the ​ (c)   to determine the solutions.

• factoring
• non-zero
• zero product property
• multiplying
• zero
• distributive property

Tags

CCSS.HSA-REI.B.4B