Algebra 2 Quadratics Review

Find the axis of symmetry for
f(x) = x²- 8x + 15.

• x = -4
• x = 4
• y = 4
• y = -4

Find the vertex of 
f(x) = -x² - 4x + 12.

• (-2, 16)
• (2, 0)
• (2, 4)
• (-2, 4)

Find the y-intercept of f(x) = 2x²-2x + 1

• 2
• -2
• 1
• -1

Determine whether f(x) = x²-6x+14 has a maximum or a minimum, and find that value.

• minimum; 3
• maximum; 3
• minimum; 5
• maximum; 5

Determine the domain and range of f(x) = -x²+14x-57.

• D: all real numbers; R: y<-8
• D: all real numbers; R: y>-8
• D: all real numbers; R: y<-57
• D: all real numbers; R: y>7

Use the graph to determine the solutions.

• -1 and -3
• 1 and -3
• 1 and 3
• -1 and 3

Solve -2x²-6x+5=0. If exact roots cannot be found, state the consecutive integers between which the roots are located.

• -4 and 1
• -3 and 0
• between -2 and -3; between 1 and 2
• between 0 and 1; between -4 and -3

Write a quadratic equation in standard form with the given roots: 2, 1/3.

• x²-(7/3)x+(2/3)=0
• x²+(7/3)x+(2/3)=0
• 3x²+7x+2=0
• 3x²-7x+2=0

Solve the equation by factoring:
x²-6x+8=0

• 2, 4
• -2, -4
• -2, 4
• 2, -4

Solve the equation by factoring:
10x² = 9x

• 9/10
• 0,  9/10
• 10/9
• 0,  10/9