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Artist 52 [7]
3 years ago
12

The function f(x) = x2 is transformed to f(x) = −1.4x2. Which statement describes the effect(s) of the transformation on the gra

ph of the original function?
A) The parabola is wider and reflected across the x-axis.
B) The parabola is wider and reflected across the y-axis.
C) The parabola is narrower and reflected across the x-axis.
D) The parabola is narrower and reflected across the y-axis.

Mathematics
1 answer:
Romashka-Z-Leto [24]3 years ago
3 0

Answer:

C) The parabola is narrower and reflected across the x-axis.

Step-by-step explanation:

The original parabola has equation:

f(x) =  {x}^{2}

The transformed parabola has equation

f(x) =  - 1.4 {x}^{2}

How wide the graph is can be determined by the absolute value of the coefficient.

The smaller the absolute value of the coefficient, the wider the graph.

Since

|1|  \:  <  \:  | - 1.4|

The original graph is wider than the transformed graph.

Also the negative factor tells us there is a reflection in the x-axis.

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