Quadratic Functions

Question

Graph y= x^2 vertically stretched by a factor of 4 and shifted right 6.

when graphing first select the correct shape from the options below the grid.

Answer 1

y=x^2

stretched by a factor of 4

gives y=4x^2

shift right by 2

y= 4(x-1)^2

It's an upward opening parabola with vertex = (1,0)= minimum point

axis of symmetry: x=1

x intercept = 1 = (1,0) = point of tangency of the parabola with the x axis

y intercept = 4(0-1)^2 = 4

the quadratic equation has 1 root, x=1, with multiplicity 2