DOK 2 Practice

Apply quadratic reasoning across tables, equations, and contexts.

This set asks students to choose useful forms, solve by factoring, interpret vertices, and connect zeros to graphs.

How to use this set

Start with the feature being asked for. Zeros point to factored form, vertices point to vertex form, and y-intercepts point to standard form.

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Set Focus

Applied quadratic reasoning

DOK 2 questions usually require switching representations before answering.

Tables

Use second differences and symmetry.

Equations

Factor and solve clean quadratic equations.

Contexts

Interpret maximums, minimums, and meaningful solutions.

Forms

Choose the form that reveals the requested feature.

Practice Questions

Applications and Feature Interpretation

Check your answer first, then reveal the explanation when you want the model.

Question 1

Second differences

Which table could represent a quadratic function?

Y-values for equal x-steps

Choice	x = 0	x = 1	x = 2	x = 3	x = 4
A	4	7	10	13	16
B	1	3	9	27	81
C	2	5	10	17	26
D	9	7	5	3	1

Question 2

Equation to zeros

What are the x-intercepts of y = x^2 - x - 12?

Question 3

Axis from zeros

A quadratic has zeros at x = -2 and x = 6. What is the axis of symmetry?

Question 4

Vertex form

Which equation has vertex (3, -5) and opens upward?

Question 5

Context vertex

The height of a ball is modeled by h(t) = -16(t - 2)^2 + 64. What is the maximum height?

Question 6

Form selection

Which form is most helpful for finding the zeros of a quadratic?

Question 7

Compare forms

Which statement is true about f(x) = (x + 1)(x - 5)?

Question 8

Average rate change

For f(x) = x^2, what is the average rate of change from x = 1 to x = 3?

Question 9

Factor to solve

Solve x^2 + 2x - 15 = 0.

Question 10

Interpret solutions

A walkway's width x is modeled by x^2 + 9x - 36 = 0. The solutions are x = 3 and x = -12. Which value makes sense?

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