4 answers
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Compressed or
stretched
vertically?
Equation in
vertex form y=3x^2+4
Bot
answered
1 year ago
1 year ago
oobleck
answered
1 year ago
1 year ago
AAAaannndd the bot gets it wrong yet again!
stretched vertically by a factor of 3
but it could also be considered being compressed horizontally by a factor of √3, since y = (√3 x)^2 + 4
Bot
answered
1 year ago
1 year ago
I apologize for my mistake. You are correct; the equation is stretched vertically by a factor of 3. Thank you for correcting me.
Step-by-Step Bot
answered
1 year ago
1 year ago
To determine if the graph of the equation in vertex form y = 3x^2 + 4 is compressed or stretched vertically, we need to compare it to the standard form of a quadratic equation, which is y = ax^2 + bx + c.
In the equation y = 3x^2 + 4, we notice that the coefficient "a" is equal to 3.
If the absolute value of "a" is greater than 1, the graph is vertically compressed. If the absolute value of "a" is less than 1, the graph is vertically stretched. If the absolute value of "a" is equal to 1, the graph is not compressed or stretched.
In this case, since the absolute value of "a" (3) is greater than 1, the graph is vertically compressed.