## Math Problem Statement

# A quadratic function f is given. f(x) = −x2 + 16x (a) Express f in vertex form. f(x) = Incorrect: Your answer is incorrect. (b) Find the vertex and x- and y-intercepts of f. (If an answer does not exist, enter DNE.) vertex (x, y)

# x-intercept (smaller x-value) (x, y)

# x-intercept (larger x-value) (x, y)

# y-intercept (x, y)

(c) Sketch a graph of f. Selection Tool Line Ray Segment Circle Vertical Parabola Horizontal Parabola Point No Solution Help -2-11234567891011121314151617181920-20-1010203040506070 Clear Graph Delete Layer Fill WebAssign Graphing Tool

Graph LayersToggle Open/Closed After you add an object to the graph you can use Graph Layers to view and edit its properties. (d) Find the domain and range of f. (Enter your answers using interval notation.) domain range Need Help? Read It Master It

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Quadratic Functions

Vertex Form

Intercepts

Graphing Parabolas

Domain and Range

### Formulas

f(x) = ax^2 + bx + c (Standard form of a quadratic function)

f(x) = a(x - h)^2 + k (Vertex form)

Quadratic formula: x = (-b ± √(b² - 4ac)) / 2a

### Theorems

Completing the Square

Quadratic Roots

### Suitable Grade Level

Grades 9-11

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