Quadratic Functions Quadratic Functions Polynomials Polynomials

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Presentation transcript:

Quadratic Functions Quadratic Functions Polynomials Polynomials Transformations Quadratic Functions Quadratic Functions Polynomials Polynomials 1pt 1 pt 1 pt 1pt 1 pt 2 pt 2 pt 2pt 2pt 2 pt 3 pt 3 pt 3 pt 3 pt 3 pt 4 pt 4 pt 4pt 4 pt 4pt 5pt 5 pt 5 pt 5 pt 5 pt

What is the domain and range for the parent cubic function?

What are the coordinates of the transformed point? (4, −4); vertical compression by 1/2

Make a scatter plot for the data in the table below, identify the correlation, and then sketch a line of best fit.

If the parent function f(x) = x2 is vertically stretched by a factor of 3, translated 2 units to the right, then translated 5 units up, write the resulting function g(x).

Consider h(x) = 2x2 − 8x − 10. Identify its vertex and y-intercept.

Find all zeros of the trinomial k(x) = x2 − 2x − 24.

Simplify (9 − 2i)(3 + i).

Use the Quadratic Formula to solve 3x2 + 6x + 4 = 0.

Find all zeros of the trinomial k(x) = 6x2 + x − 40.

Simplify (i2 − 5)( 18 + 3i ).

Find all zeros of the trinomial k(x) = 12x2 + 25x − 7.

Perform the indicated operation (x - 3)(2x2 + 4x - 1)

Find: (p + 2r)3

Find (x3 + x2 − 20x + 24) divided by (x − 3).

you know about the degree and the coefficients of P(x)? If as x → + ∞, P(x) → − ∞, and as x → − ∞, P(x) → − ∞, what do you know about the degree and the coefficients of P(x)?

Find (x3 − 18x + 8) divided by (x − 4) by synthetic division.

Find f(-3) using synthetic substitution. f(x)= -4x5+3x2-1