Math Problem Statement

Find the vertex, axis of symmetry, and any
x

  • or
    y -intercepts of
    f ( x ) = x 2

x − 1 . Then graph the function. Give exact answers using fractions and square roots, not decimals. If the function does not have the requested characteristic, enter DNE. If there are multiple instances of a characteristic, separate them with commas.

a) Vertex (as an ordered pair):

b) Equation of the line of symmetry:

c) Range (in interval notation) .

d)
x -intercept(s) (as ordered pair(s)): .

e)
y -intercept (as ordered pair): .

f) Graph:

1 2 3 -1 -2 -3 1 2 3 -1 -2 -3

Solution

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Math Problem Analysis

Mathematical Concepts

Algebra
Quadratic Functions
Graphing
Intercepts

Formulas

Vertex formula: x = -b / 2a for a quadratic function ax^2 + bx + c
Quadratic formula: x = (-b ± √(b^2 - 4ac)) / 2a
Standard form of a quadratic equation: f(x) = ax^2 + bx + c

Theorems

Quadratic formula
Symmetry of parabolas
Intercept theorem

Suitable Grade Level

Grades 9-10

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