How to solve 9x-12 * 2 = 3x

9x-12 * 2 = 3x shift
9x-3x=12*2
6x=24
x=4

Please help to solve several vertices of quadratic function: y = - 5x square, y = x square + 2x-3, y = x square - 6x + 1
Y = - 5x square, y = x square + 2x-3, y = x square - 6x + 1

Vertex (0,0) of y = - 5x square
Y = x square + 2x-3 = (x + 1) ^ 2-4 vertex (- 1, - 4)
Y = x square - 6x + 1 = (x-3) ^ 2-8 vertex (3, - 8)

How to translate the quadratic function y = 2x ^ 2 + 3x + 5

According to the formula, y = 2 (x + 3 / 4) ^ 2 + 31 / 8 is symmetric about (- 3 / 4,31 / 8),
First shift 3 / 4 units to the left, then shift 31 / 8 units to the up,
We can get y = 2x ^ 2 + 3x + 5

The quadratic function y = 2x ^ 2-6x + 1, when 0 ≤ x ≤ 5, the value range of Y is_____

Draw a picture first
The axis of symmetry is x = 3 / 2
When x = 0, y = 1
When x = 3 / 2, y = - 2 / 7
When x = 5, y = 21
－2／7≤Y≤21

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How to solve 9x-12 * 2 = 3x