Question

Hence, or otherwise, write down the coordinates of the turning point of the graph of

y = 2x^2 – 12 x + 23

Answer 1

`(1)/(2) (45)/(2)`

Answer 2

The coordinates of the turning point of the graph y=2x^2−12x+23 are (3,5).

To find the coordinates of the turning point of the quadratic function y=2x^2−12x+23, we recognize that the turning point occurs at the vertex of the parabolic graph. The x-coordinate of the vertex can be found using the formula x=−b/2a for a quadratic function in the form y=ax^2+bx+c, where a, b, and c are coefficients.

In this case, the coefficients are a=2, b=−12, and c=23. Substituting these values into the formula, we get:

x=− (−12)/2×2 =3

Next, to find the y-coordinate of the turning point, we substitute x=3 into the original function:

y=2(3)^2 −12(3)+23=5

Therefore, the coordinates of the turning point are (3,5), representing the vertex of the parabola.