Quadratics Part 1

Which equation corresponds to the graph shown? 

• y = x² - 1 
• y= - (x-1)²
• y= x² + 1
• y = -(x+1)²

Find the coordinates of the vertex of the graph of    y = x² – 8x + 10. Identify the vertex as a maximum   or a minimum

• (4, –6); minimum        
• (–4, 58); maximum 
• (4, 6); maximum
• (–4, 26); minimum

Solve x² – 24x + 144 = 36 by taking the square root of each side.

• –6, 18 
• 6, 18
• 6, 12
• -6, 6

Which equation can be used to solve
5b² + 30b – 10 = 0 by completing the square?
* complete the square 

•  (b + 6)²= 38 
•  (b + 6)²= 46
•  (b + 3)²= 11
•  (b + 3)²= 19

Which step is not performed in the process of solving  r²+ 8r + 5 = 0 by completing
the square?

• Subtract 5 from each side
• Factor  r² + 8r
• Add 16 to each side.
• Take the square root of each side

Solve each equation by graphing. If integral roots cannot be found, estimate the roots by stating the consecutive integers between which the roots lie.
 x² – 7x – 8 = 0

• -1, 8
• 0, 0
• 1, 8
• -8, -1

Solve each equation by graphing. If integral roots cannot be found, estimate the roots by stating the consecutive integers between which the roots lie.
 x² + 1 = 5x 

• x= between 2 and 3, x= between 4 and 5
• x= between -1 and 0, x= between 1 and 2
• x= between 0 and 1, x= between 4 and 5
• x= between 1 and 2, x= between -4 and -5

**round to the nearest tenth if necessary
Solve x² + 4x = 20 by completing the square

• x = 2.90 and 6.90
• x = -2.90 and -6.90
• x = -2.90 and 6.90
• x= 2.90 and -6.90

**round to the nearest tenth if necessary
Solve -2x² + 18 = 7x by graphing

• x = -1.72 and -5.22
• x = 1.72 and -5.22
• x = 1.72 and 5.22
• x = -1.72 and 5.22

What is the standard form of a quadratic function?

• y = mx + b
• ax² + bx +c =0
• y = a(x-h)² + k