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Mathematics 13 Online
OpenStudy (anonymous):

f(x)=1/4 x^2

OpenStudy (saifoo.khan):

what's the question?

OpenStudy (anonymous):

If this is connected to your last question about if it had any roots, then yes, it does. In this context roots just mean when is this thing zero (aka intersects x-axis). So, 0 = (1/4)x² Times 4. 0 = x² Squareroot. x = 0 Since we only got one answer, it only intersects the x-axis once.

OpenStudy (anonymous):

@saifoo.khan it says find the label the vertex and line of symmetry

OpenStudy (saifoo.khan):

vertex = (0,0) line of sym, x = 0

OpenStudy (anonymous):

I agree with saifoo.khan's answer. If this graph had more than one x-intercept, then in order to find the vertex, you would average the x values. This is because a graph of degree 2 (biggest exponent is 2) is symmetrical so the x value of the vertex will always be right between the roots.

OpenStudy (anonymous):

Solve the formula for the given variable A=3s^2, for s

OpenStudy (saifoo.khan):

\[\sqrt {\frac A 3}\]

OpenStudy (anonymous):

Give exact and approximate solutions to three decimal places (x-5)^2=4

OpenStudy (saifoo.khan):

3,7

OpenStudy (anonymous):

find the vertex and line of symmetry f(x)=-x^2+10x+3

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