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QUESTION IMAGE

graph the given function by writing it in the standard form \\(y = a(x …

Question

graph the given function by writing it in the standard form \\(y = a(x - h)^2 + k\\) and then using transformations on \\(y = x^2\\). find the vertex, the axis of symmetry, and the x- and y-intercepts.

\\(y = 4x - 11 - x^2\\)

\\(y = -(x - 2)^2 - 7\\)
(type an equation. use integers or fractions for any numbers in the equation.)

what kind(s) of transformation(s) occur between the graph of the given function and the graph of \\(y = x^2\\)? select all that apply.

a. a horizontal shift
b. a reflection across the y-axis
c. a reflection across the x-axis
d. a vertical shift

use the graphing tool to graph the function.

the vertex is \\((2, -7)\\).
(type an ordered pair.)

the axis of symmetry is .
(type an equation.)

Explanation:

Rewrite in standard vertex form

Using the Completing the Square and Vertex Form of a Quadratic knowledge points

$$ LATEXBLOCK0 $$

Identify the axis of symmetry

Using the Axis of Symmetry knowledge point

$$ LATEXBLOCK1 $$

Answer:

The axis of symmetry is <blank>\(x = 2\)</blank>