Forms of Polynomials - Graphing

• shifted up 8 units

• shifted down 8 units

• shifted left 8 units

• shifted right 8 units

• Compress by 2, shift 2 units left and 5 down

• Reflect, stretch by 2, shift 2 units right and 5 down

• Reflect, stretch by 2, shift 2 units left and 5 down

• Compress by 2, shift 2 units right and 5 down

• right 3

• Reflected down, right 3

• Reflected down, up 3

• Reflected down, left 3

Which quadratic would be the narrowest?

A quadratic is reflected down when the value of a is negative.

• TRUE

• FALSE

f(x) = x is graphed in black.

g(x)=x+3 is graphed in red.

Which of the following describes the transformation from f(x) to g(x). SELECT ALL THAT APPLY.

• The graph of g is a vertical translation 3 units up of the graph of f

• The graph of g is a horizontal translation two units left of g

• The graph of g is a vertical stretch by a factor of 2 of the graph of f
• The graph of g is a reflection of the graph of f

• Vertical stretch by a factor of 4

• Vertical compression by a factor of 1/4

• Vertical translation up by 1/4 units.

• Horizontal compression by a factor of 1/4

• (-4, 0)

• (4, 0)

• (0, 4)

• (0, -4)

• (0, -1)

• (0, 1)

• (1, 0)

• (-1, 0)

What are the roots of the function
f(x)= (x - 2)(x + 3)?

• x = - 2 or x = 3
• x = 2 or x = -3
• The are no real roots
• x = 2 or x = 3