SOLUTION: I need help graphing these functions could I get some help please? y=4x^2 and graph function y=x^2-2

Question 29731: I need help graphing these functions could I get some help please?

y=4x^2

and graph function y=x^2-2
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
For the first function: , you know (or should know) that this is the equation for a parabola that opens upwards (the coefficient of x^2 is positive) and the x-coordinate of the vertex is given by: .
The a and b come from the standard form for the quadratic equation: , so the vertex of the parabola is: because b = 0, and, in your equation, when x = 0 then y = 0, so the vertex of the parabola is at (0, 0), the origin of the coordinate system.
The x-intercepts can be found by setting y = 0 and solving for x.

and or, there are no x-intercepts which makes sense when you realise that if the parabola opens upwards and the vertex is at the origin, then the parabola never crosses the x-axis.
Here's the graph:

For the second function, you can apply a similar analysis and find that the parabola opens upwards but the vertex is at (0, -2) and the x-intercepts are at x = and x = -
Here's the graph:

RELATED QUESTIONS
Could I get some help with graphing this equation: x - y = -2? Thank... (answered by darq)

If possible there are several questions that are puzzling me and if possible I would like (answered by lwsshak3)

I am not understanding these Adavanced Functions and could use some help please.... (answered by stanbon,KMST)

I need some help with Graphing Graph Y=2(x+3)(x-4)^2 and label all intercepts thank (answered by funmath)

I need some help with Graphing Graph Y=2(x+3)(x-4)^2 and label all intercepts thank (answered by rchill)

LEASE HELP I HAVE A QUIZ ON TUESDAY Okay, so lately I've been having trouble in Algebra.... (answered by Alan3354,MathLover1)

I need some help with Graphing Sketch the graph of y=5-(x+2)^3 and label the... (answered by funmath)

I really need help with these questions. Evaluate each function for x= -2,0,and 5.... (answered by jim_thompson5910)

I need help on graphing systems of inequalities. How would you graph y>2 and... (answered by stanbon)