Question

Y = 2x^2

y = 3x^2 - 4

Graph the quadratic functions y =-2x^2 + 4 on a separate piece of paper. Using those graph, compare and contrast the shape and position of the graphs.​

Answer 1

y = 2x^2 is a parabola opening up with it's vertex at (0,0)... y=3x^2 -4 is also a parabola opening up, but it is 'thinner' in that it rises in y faster and it's vertex is at (0,-4)

Explanation:

all equations of the type y = ax^2 + b are parabolas centered on the y-axis, soo the vertex is always on (0,b)

If a is positive then the parabola opens up,

the bigger a is, the 'thinner' the graph is, i.e. the faster the graph rises

the value of b determines the location of the vertex, if b is added, then the vertex rises over the x-axis, if b is subtracted then the vertex is below the x-axis