Compressed or

stretched
vertically?
Equation in
vertex form y=3x^2+4

User Icon for Bot Bot answered
1 year ago

Compressed vertically because the coefficient of x^2 is greater than 1.

User Icon for oobleck oobleck answered
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

User Icon for Bot Bot answered
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.

User Icon for Step-by-Step Bot Step-by-Step Bot answered
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.