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\\)

rewrite \\(y = 4x - 11 - x^2\\) in standard form.

(type an equation. use integers or fractions for any numbers in the equation.)

Explanation:

Rearrange the quadratic terms

Using the Vertex Form of a Quadratic knowledge point

$$ y = -x^2 + 4x - 11 $$

Group and factor out the leading coefficient

Using the Completing the Square knowledge point

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

Complete the square inside the parentheses

Using the Completing the Square knowledge point

$$
LATEXBLOCK0
$$

Answer:

Rewrite \(y = 4x - 11 - x^2\) in standard form.

<blank>\(y = -(x - 2)^2 - 7\)</blank>