We'll introduce different wave phenomena, parameters that specifically describe periodic waves, and consider "standing waves."
First, and overview of different types of one-dimensional waves.
Next, we'll focus on waves on strings (and ropes, cables, and other similar media), and specifically on periodic waves along strings.
Note the hierarchy of these wave parameters. Since the wave speed is determined by properties of the string (independent of the source), and the frequency is determined by the source (independent of the string), these are said to be independent wave parameters. In contrast, the wavelength of the wave is dependent on both the independent speed and frequency parameters. Algebraically there is nothing wrong with expressing this relation as v = λf and f = v/λ, as long as you recognize that the dependency of λ doesn't change.
Let's take a look at the frequency, which was stated to be the same for both these waves, but check if that really is the case. You'll need a friend to watch this animation with you. For the top wave, every time you see the hand at the left moves up to make a crest (or "hump"), say "now." "Now. Now. Now..." Keep doing that. For the bottom wave, convince your friend to say "now" every time the hand at the left moves up to make a crest there as well." "Now. Now. Now..." If the two of you do this correctly, the rate that you say "now" should more or less be the same rate that your friend says "now." This means that these waves should have (approximately) the same frequency.
To see that the speed is the same for both these waves let's time how long each wave takes to travel across the screen from left-to-right. Watch when a crest (or "hump") starts at the left for both waves, and then say "go." You'll watch the top wave crest move all the way across to the right end of the apparatus, while your friend will watch the bottom wave crest move all the way across to the left end of the apparatus. When your wave crest reaches the right end of the apparatus, stay "stop." There should be a tie (more or less) for the time it takes for these wave crests to travel from left to right, and since they travel the same distance in the same amount of time, then they must have (approximately) the same speed.
For the wavelength, note the horizontal distance from crest-to-crest for the top wave, and mark it with two of your fingers. Compare it to the horizontal distance from crest-to-crest for the bottom wave, which your friend can also mark with two fingers. This horizontal crest-to-crest distance should be more or less the same. This means that these waves have (approximately) the same wavelength.
In this experiment, amplitude of the two waves was different, while the frequency of the two was the same. The speed of the two waves was not affected by the difference in amplitude; and the wavelength of the two waves was also not affected by the difference in amplitude. Thus both wave speed and the wavelength do not depend on changes in amplitude, and wave speed and wavelength are both independent of the amplitude of a wave, whatever it is.
Third: "standing waves," which we'll discuss in terms of resonance, rather than the more involved approach of wave superposition and reflections.