Math Problem Statement

Consider the function f(x) = -1/4(x+2)(x-5). State the x-intercept(s) of the graph. State the y-intercept(s) of the graph. State the equation of the axis of symmetry. Graph f.

Solution

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Math Problem Analysis

Mathematical Concepts

Quadratic Functions
Intercepts
Axis of Symmetry
Parabolas

Formulas

Factored form of a quadratic function
Formula for x-intercepts (setting f(x) = 0)
Formula for y-intercept (substitute x = 0)
Axis of symmetry formula: x = (x1 + x2) / 2

Theorems

Properties of Quadratic Functions

Suitable Grade Level

Grades 9-10