ALGEBRA 2 6.0
TEST – TUESDAY, DECEMBER 1ST
SECTIONS 4-1, 4-2, 4-3 AND 4-7
WITHOUT A CALCULATOR
For this assessment you must be able to do the following:
 Identify a quadratic function of any form
 Distinguish between the standard form, y  ax 2  bx  c , and vertex, or general form,
y  a( x  h)2  k of a quadratic function, and be able to put any quadratic function into
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either form.
Identify the quadratic, linear, and constant terms of a quadratic function in standard
form, y  ax 2  bx  c , and describe the effect on the graph when the value of a, b, or c is
changed.
Identify the characteristics of any given quadratic function (vertex, maximum or
minimum value, axis of symmetry, x- and y-intercepts, orientation, width as compared to
the parent function)
Write an equation in vertex form, y  a( x  h)2  k , for a parabola given specific
characteristics i.e. vertex in a given quadrant, no real roots, standard, narrower, wider
width,
Given a quadratic function in vertex form, identify its transformations from the parent
function y  x 2
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Given a quadratic function in standard form, put it into vertex form and then identify its
transformations from the parent function y  x 2
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Sketch the graph of any quadratic function
Given the graph of a quadratic function, write its equation
Given the vertex and another point on the graph of a parabola, write the equation of the
quadratic function
Factor polynomials using techniques such as factoring out GCF, factoring trinomials to
two binomials, and factoring the difference of squares
Solve equations using the Zero Product Property
Find the roots of a quadratic equation by factoring or by looking at a graph. Understand
that the roots, or zeros, of the equation are the x-intercepts of its graph and that the
function may have 0, 1 or 2 distinct real roots.
Write a quadratic equation with integral coefficients that has a given pair of roots. (If
one or both of the roots are fractions, be able to write an equation without fractional
coefficients.)
Solve a quadratic equation by extracting the square root.
Solve a problem related to essential material from earlier in the year (as mandated
by the district).
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