Graph the given function by writing it in the standard form y=a(x-h)^2+k and then using transformations on y=x^2. Find the vertex, the axis of symmetry, and the x & y intercepts of the graph of the given function.
y=3x^2-30x+76
y = 3x^2 -30x + 76)
Complete the square on x
y = 3 ( x^2 - 10x + 25) + 76 - 3*25
y = 3 ( x - 5) ^2 + 76 -75
y = 3(x - 5)^2 + 1
Here;s the graph : https://www.desmos.com/calculator/vamctntdeo
The vertex is ( 5 , 1)
The axis of symmetry ⇒ x = 5
This parabola turns upward......the vertex lies above the x axis....so there are no x intercepts
The y intercept = 76