Algebra Reference Sheet

The standard form of a quadratic function is

• y = ax² + bx + c

• a(x - h)² + k

• y - y₁ = m(x - x₁)

• Ax + By = C

What causes the graph of y = x² to open downward?

• multiply the x² by a fraction

• multiply the x² by a decimal

• multiply the x² by a negative number

• multiply the x² by a number greater than 1

Which of the following is the Factored Form of a quadratic function?

• f(x) = mx + b

• f(x) = ax² + bx + c

• f(x) = a(x - m)(x - n)

• f(x) = a(x - h)² + k

Which direction does the graph open for the following: y = -(x+3)(x-2)

• Left

• Up

• Down

• Right

In an exponential function, what does the 'a' represent?

• Input

• Common ratio

• Y-intercept/Initial value

• Output

In an exponential function, what does the 'b' represent?

• Input

• Common ratio

• Y-intercept

• Output

In the linear equation, y = mx + b, the letter m is the ___________.

• y-intercept/initial value

• x-intercept

• slope/rate

• multiplier

What is this formula used for?

• Find the vertex.

• Find the values of the x-intercepts.

• Find the y-intercept.

• Find the axis of symmetry

Determine the values of
a, b, and c for
the quadratic equation: 
4x² – 8x = 3

• a = 4, b = -8, c = 3

• a = 4, b =-8, c =-3

• a = 4, b = 8, c = 3

• a = 4, b = 8, c = -3

Which of the following is one of the roots of the function?  f(x) = (x+3)(x-6)

• 2

• -2

• -6

• -3