Name: ___________________________________
Algebra 1
Graphing Quadratic Equations in Standard Form f(x) = ax2 + bx + c
1. Graph the equation: f(x) = x2. Label the vertex, line of symmetry, y-intercept, x-intercept, domain, range,
and minimum or maximum. (If possible, answer in simplest radical form and as a decimal rounded to nearest
hundredth.)
Vertex: __________________________________
Line of Symmetry: ________________________
y-intercept: ______________________________
x-intercept(s): ____________________________
Domain: _______________________________
Range: _________________________________
Tell whether the parabola has a maximum or minimum,
and label its value.
________________________________________
2. Graph the equation: d(t) = -t2 + 8. Label the vertex, line of symmetry, y-intercept, x-intercept, domain,
range, and minimum or maximum. (If possible, answer in simplest radical form and as a decimal rounded to
nearest hundredth.)
Vertex: __________________________________
Line of Symmetry: ________________________
y-intercept: ______________________________
x-intercept(s): ____________________________
Domain: _______________________________
Range: _________________________________
Tell whether the parabola has a maximum or minimum,
and label its value.
________________________________________
3. Graph the equation: y = x2 + 4x – 3. Label the vertex, line of symmetry, y-intercept, x-intercept, domain,
range, and minimum or maximum. (If possible, answer in simplest radical form and as a decimal rounded to
nearest hundredth.)
Vertex: __________________________________
Line of Symmetry: ________________________
y-intercept: ______________________________
x-intercept(s): ____________________________
Domain: _______________________________
Range: _________________________________
Tell whether the parabola has a maximum or minimum,
and label its value.
________________________________________
4. Graph the equation: g(x) = -x2 + x + 2. Label the vertex, line of symmetry, y-intercept, x-intercept, domain,
range, and minimum or maximum. (If possible, answer in simplest radical form and as a decimal rounded to
nearest hundredth.)
Vertex: __________________________________
Line of Symmetry: ________________________
y-intercept: ______________________________
x-intercept(s): ____________________________
Domain: _______________________________
Range: _________________________________
Tell whether the parabola has a maximum or minimum,
and label its value.
________________________________________
5. Graph the equation: y = x2 – 2x + 4. Label the vertex, line of symmetry, y-intercept, x-intercept, domain,
range, and minimum or maximum. (If possible, answer in simplest radical form and as a decimal rounded to
nearest hundredth.)
Vertex: __________________________________
Line of Symmetry: ________________________
y-intercept: ______________________________
x-intercept(s): ____________________________
Domain: _______________________________
Range: _________________________________
Tell whether the parabola has a maximum or minimum,
and label its value.
________________________________________
6. Graph the equation: y = x2 + 4x + 4. Label the vertex, line of symmetry, y-intercept, x-intercept, domain,
range, and minimum or maximum. (If possible, answer in simplest radical form and as a decimal rounded to
nearest hundredth.)
Vertex: __________________________________
Line of Symmetry: ________________________
y-intercept: ______________________________
x-intercept(s): ____________________________
Domain: _______________________________
Range: _________________________________
Tell whether the parabola has a maximum or minimum,
and label its value.
________________________________________
7. Graph the equation: y = -x2 – 4x + 5. Label the vertex, line of symmetry, y-intercept, x-intercept, domain,
range, and minimum or maximum. (If possible, answer in simplest radical form and as a decimal rounded to
nearest hundredth.)
Vertex: __________________________________
Line of Symmetry: ________________________
y-intercept: ______________________________
x-intercept(s): ____________________________
Domain: _______________________________
Range: _________________________________
Tell whether the parabola has a maximum or minimum,
and label its value.
________________________________________
8. Graph the equation: f(x) = -3x2 – 1. Label the vertex, line of symmetry, y-intercept, x-intercept, domain,
range, and minimum or maximum. (If possible, answer in simplest radical form and as a decimal rounded to
nearest hundredth.)
Vertex: __________________________________
Line of Symmetry: ________________________
y-intercept: ______________________________
x-intercept(s): ____________________________
Domain: _______________________________
Range: _________________________________
Tell whether the parabola has a maximum or minimum,
and label its value.
________________________________________