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The graph of y = 12x2 will be more narrow than the graph of the parent function, y = x².

Question 2 options:
True
False

The quadratic function shown can be written in the form y = ax². Determine the equation of the quadratic function.



Question 4 options:

y = x²


y = -x²


y = 2x²


y = -2x²

The graph of y 12x2 will be more narrow than the graph of the parent function y x Question 2 options True False The quadratic function shown can be written in t class=

Respuesta :

The graph of the funtion [tex]y=12x^2[/tex] is more narrow than the parent function [tex]y=x^2[/tex] so the answer is true.  It is more narrow due to the value of a, the coefficient of x².  When a > 1, it shrinks the graph.  If 0 < a < 1, then the graph would stretch.

Based on the graph attached, we know a will not be a negative number, since the graph is open upward instead of downward.  A negative coefficient "flips" the graph.  Since it goes through the point (1, 2) it will not be the parent function y = x²; if you substitute 1 in for x you would get a value of 1, not 2.  Therefore the choice must be y = 2x².

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