book Maths Puzzle Numerical Ability

Identify the shape of the graph, transform it into standard form, and sketch the graph.
y = (2/3)x^2 - 8x + 29

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book Other Question

Evaluate the function below at x = 1
Plot the graph of each function.
Classify each as linear, quadratic, polynomial, exponential, or logarithmic, and explain the reasons for
How do you find the domain and the range of funtions like this??
1){{{ (x-5) / (18-3x-x^2) }}}
or
2) {{{ 3sqrt( -3-x ) }}}