Quadratic Functions Working With Equations Worksheet With Answers
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9Math 2 (L1-6)
A.SSE.1, 2, 3, F.IF.8, A.REI.4
Assessment Title: Finding Forms of a Quadratic Summary
Unit 3: Quadratic Functions Working with Equations
Learning Targets:
Use and interpret various forms of quadratics functions
Identify key features of a quadratic function
As practiced in the lesson, if all key features (x-intercepts, y-intercept and vertex) are to be identified, it
is sometimes necessary to express a function in an equivalent form. The forms and key features found
include the following:
Form
Key Features Easily Identified
2
Vertex Form: y = a(x – h)
+ k
vertex (h, k)
y-intercept (replace x with 0, and simplify)
Factored Form: y = (x + a)(x + b)
x-intercepts from factors
y-intercept by replacing x with 0, and simplifying
2
Standard Form: y = ax
+bx + c
y-intercept is c (replace x with 0, and simplify)
PART 1: Vertex Form to Standard Form (Identifying the y-intercept):
Use prior knowledge to simplify expression, and write terms in descending order.
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Vertex Form
y = 2(x – 1)
+ 3
2
y = 2(x
– 2x + 1) + 3
Multiply (x – 1)(x – 1), and simplify.
2
y = 2x
– 4x + 2 + 3
Distribute 2.
2
Standard Form
y = 2x
– 4x + 5
Simplify.
TRY IT OUT: Write each quadratic function in standard form and identify the y-intercept of each
function.
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2
1.
y = 3(x + 2)
+ 1
2.
y = (x – 2)
+ 2
Standard Form: _______________
Standard Form: _______________
y-intercept: ( ________ , ________)
y-intercept: ( ________ , ________)
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2
3.
y = -(x + 1)
– 1
4.
y = -2(x – 4)
- 3
Standard Form: _______________
Standard Form: _______________
y-intercept: ( ________ , ________)
y-intercept: ( ________ , ________)
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