Compare each function with the parent function. Without graphing, what are the vertex, axis of symmetry, and transformations of the parent function?
y equals negative start absolute value 8 x plus 4 end absolute value plus 2
(1 point)
Responses
left parenthesis one-half comma 2 right parenthesis; x equals negative one-half; translated to the left one-half unit and up 2 units
Image with alt text: left parenthesis one-half comma 2 right parenthesis ; Image with alt text: x equals negative one-half ; translated to the left Image with alt text: one-half unit and up 2 units
left parenthesis negative one-half comma 2 right parenthesis; x equals negative one-half; translated to the left one-half unit, up 2 units, and reflected in the x-axis
Image with alt text: left parenthesis negative one-half comma 2 right parenthesis ; Image with alt text: x equals negative one-half ; translated to the left Image with alt text: one-half unit, up 2 units, and reflected in the x -axis
left parenthesis one-half comma 2 right parenthesis; x equals one-half; translated to the right one-half unit and up 2 units, and reflected in the y-axis
Image with alt text: left parenthesis one-half comma 2 right parenthesis ; Image with alt text: x equals one-half ; translated to the right Image with alt text: one-half unit and up 2 units, and reflected in the y -axis
left parenthesis one-half comma negative 2 right parenthesis; x equals one-half; translated to the right one-half unit and up 2 units
The correct answer is:
(1 point)
The vertex is (1/2, 2). The axis of symmetry is x = 1/2. The transformation of the parent function is a translation to the right by 1/2 unit and up 2 units.
The correct answer is:
The vertex of the function is (-4, 2), and the axis of symmetry is x = -4.
The transformations of the parent function are that it is translated to the left by 4 units and up by 2 units.