few_shots: 
Example:
Concept/skill: 
Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.

Problem/activity:
Find the general solution for:
$${\mathrm{cos}\left({\pi\over2}+x\right)=\mathrm{tan}{\pi\over4}}$$


Answer: 
No. This problem does not directly teach how side ratios in right triangles lead to definitions of trigonometric ratios. Instead, it involves solving a trigonometric function.

Now, assess whether the following problem or activity is 'aligned' with the given Common Core standard in Mathematics.

shot_info: fl_problem_001894_neg_0

HS_0
standard_description: Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.
problem_activity: Problem 1
The functions below are parent functions. Graph each one. Use either technology or a table of values where needed.
$${y=x}$$
$${y=x}^2$$
$${y=x}^3$$
$${y=|x|}$$
$${y=\sqrt{x}}$$
$${y=\sqrt[3]{x}}$$
Problem 2
Consider the two functions below.
$${{f(x)}=|x|}$$
$${{g(x)}=|x|+2}$$
Create a table of values for each function and use it to graph each function in the coordinate plane.
Looking at the tables and the graphs, what changed from the parent function,
$${f(x)}$$
, to the new function,
$${g(x)}$$
? What is the same?
Look at the corresponding work in the Desmos activity,
Introduction to Transformations of Functions
, slides 3–6.
Problem 3
Predict what the tables and graph would look like for each function below. Then refer to slide 7 in the Desmos activity,
Introduction to Transformations of Functions
, to try out other values for
$$k$$
.
$${y=|x|+5}$$
$${y=|x|-1}$$
$$y=|x|+k$$
A different parent function and transformations are shown below. Predict what each graph would look like. Then refer to slides 8–14 in the Desmos activity.
$${y=x^2}$$
$${y=x^2}+5$$
$${y=x^2}-1$$
$${y=x^2}+k$$


aligns: yes