A-Level Maths: B7-04 [Graphs: Examples of Sketching Quartics from Factorised Form]

[Faizan_Football]

thanks boss nearly finished the algebra and functions topic of a level maths ur videos are very helpful

[taegan]

Awesome video thank you so much!
Question: So In the case of Q6, you said that the local minimum might not actually be at (0, -8). I thought that all the little parabolas in a quartic were symmetrical, and since the -1 and 1 are the same distance from thew y-axis (symmetrical), the turning point would be on the y-axis. Is this not the case? i.e. are the turns in a quartic graph not actually always symmetrical about their turning points?

[pedroadangarcia]

In this exercise you are supposed to evaluate all axes of symmetry and then sketch a graph. The equation is the following:
y=(x-4)^2(x+3)^2. It is pretty straightforward to sketch the graph of this quartic but how am I supposed to find the axe of symmetry without sketching it? Is the axis of symmetry always at the midpoint between the inner two x-intercepts?

[kakashi]

how do you know if the local maximum of the quartic (centre of W shape) if to to the left or right of the y-axis? Or does this not really matter

[zaynali]

Why can't you just put the graph in your graphical calculator and copy it?