Mid term Skills review

MAFS.912.F-IF.3.7a graph a line in point-slope form and use the graph to show where the starting point (𝑥1, 𝑦1) and the slope (m) are represented on the graph. graph a line in slope-intercept form and use the graph to show where the y-intercept (b) and the slope (m) are represented on the graph. use the definition of x-intercept and y-intercept to find the intercepts of a standard form line and graph the line. relate the constants A, B, and C to the values of the x-intercept, y-intercept, and slope.

MAFS.912.F-BF.1.1 write a explicit and/or recursive expressions of a function apply transformations to equations of parent functions. combine different parent functions (adding, subtracting, multiplying, and/or dividing) compose two or more functions.

MAFS.912.F-BF.2.4 write the inverse of a function. use the composition of functions to verify that g(x) and f(x) are inverses by showing that g(f(x))=f(g(x))=x. recall the definition of one-to-one function. decide if a function has an inverse using the horizontal line test. use the definition of function, inverse function, and one-to-one function to explain why the horizontal line test works. state the domain of a relation that has been altered. write the inverse of the invertible function in function notation.

MAFS.912.F-IF.3.8a explain that there are three forms of quadratic functions (standard, vertex, and factored form) and that the graph of all three forms is a parabola. find the x-intercepts of a quadratic written in factored form and use them to find the axis of symmetry. identify the line of symmetry and the vertex of a quadratic written in vertex form. sketch a graph of a parabola written in vertex form. tell if a quadratic written in vertex form has x-intercepts by looking at the equation. use algebra to find the x-intercepts of a quadratic written in vertex form. convert a standard form quadratic to factored form by factoring and to vertex from by completing the square. write the function that describes a parabola in all three forms when I am given a graph with the x-intercepts, y-intercept, and vertex labeled.

MAFS.912.N-CN.1.3 determine the conjugate of a complex number (a+bi and a-bi). explain why multiplying a complex number by its conjugate results in a real number. multiply complex numbers determine the quotient of two complex numbers using the conjugate of the denominator. calculate the modulus, r, of a complex number (𝑟 = √𝑎2 + 𝑏2)

MAFS.912.N-CN.2.5 add, subtract, multiply, and divide (using conjugation) complex numbers. calculate the modulus represent addition, subtraction, multiplication, and division of complex numbers by graphing on the complex plane.

MAFS.912.F-IF.3.7a explain that the parent function for quadratic functions is the parabola f(x)= 𝑥 2 explain that the minimum or maximum of a quadratic is called the vertex. identify whether the vertex of a quadratic will be a minimum or maximum by looking at the equation find the y-intercept of a quadratic by substituting 0 for x and evaluating. estimate the vertex of a quadratic by evaluating different values for x. use calculated values while looking for a minimum or maximum to decide if the quadratic has x-intercepts. estimate the x-intercepts of a quadratic by evaluating different values of x. graph a quadratic using evaluated points. use technology to graph a quadratic and to find precise values for the x-intercept(s) and the maximum or minimum.

MAFS.912.N-CN.3.9 explain the Fundamental Theorem of Algebra in my own words by using simple polynomials and their graphs. solve a quadratic equation for its zeroes even if the zeroes are complex.

MAFS.912.F-IF.3.7c define a polynomial and identify the degree of a polynomial determine the x-intercepts of a polynomial when looking at a graph of the function. determine the multiplicity of the x-intercepts of a polynomial when looking at a graph of the function. approximate the factored equation of a polynomial function when looking at a graph of the function. determine the end behavior of a polynomial by looking at the degree and leading coefficient of the equation.

MAFS.912.F-IF.3.8a use algebra to find the x-intercepts of a quadratic written in vertex form. convert a standard form quadratic to factored form by factoring and to vertex from by completing the square. write the function that describes a parabola in all three forms when I am given a graph with the x-intercepts, y-intercept, and vertex labeled.