Concept (1)

When graphing and describing the characteristics of a parabola, it is important to know several key pieces of information. The parabola intercepts describe where the parabola intersects the x-axis and the y-axis while the vertex of a parabola is the highest (or lowest) point of the parabola. Knowing the domain and range of a parabola is also helpful when graphing.

Sample Problems (7)

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Given f(x) = x² + 3x − 10

x-int:
y-int:
vertex:
domain:
range:
Problem 1
How to find the vertex, intercepts, domain and range of a quadratic graph.

Given f(x) = -x² + 4x − 3

x-int:
y-int:
vertex:
domain:
range:
Problem 2
How to find the vertex, intercepts, domain and range of a quadratic graph with a negative leading coefficient.
Problem 3
Finding key features of a parabola from a quadratic equation using the quadratic formula to find irrational zeros
Problem 4
Finding key features of a parabola from a quadratic equation that has imaginary solutions
Problem 5
Finding key features of a parabola from a quadratic equation that has imaginary solutions using the quadratic formula
Problem 6
Finding key features of a parabola from a quadratic equation that has integer solutions that can be found by factoring
Problem 7
Identifying key features of a parabola whose equation is provided in vertex form