Algebra 2 STUDY GUIDE AII.4, AII.5, AII.8 Quadratics
Mrs. Grieser
Name: _______________________________________ Date: ________________ Block: __________
QUADRATICS TEST STUDY GUIDE
Test covers:
Sketch a quadratic by finding concavity, axis of symmetry, and vertex.
Be able to put a quadratic function into vertex form and graph with transformations.
Solving quadratic equations by factoring, quadratic formula, completing the square.
Use the discriminant of a quadratic equation to determine the number of real and/or
imaginary roots. Then be able to find all roots over complex numbers.
Solving word problems using quadratic functions, especially involving maximum or
minimum values.
Solving systems of non-linear equations graphically and algebraically. Find all
solutions (if any exist).
Practice Questions:
Graph the quadratic functions. Find the indicated information.
1)
a) f(x) = x
– 8x + 15
2
vertex form:
vertex:
axis of symmetry:
concavity:
parent function:
transformations:
b) f(x) = 2x
+ 12x + 23
2
vertex form:
vertex:
axis of symmetry:
concavity:
parent function:
transformations: