Find the Vertex
Find the vertex for: f(x)=3x^{2}+5x+2.
(-0.83333, -0.08333)
What is the axis of symmetry for: f(x) = x^2 + 6x + 2?
x = -3
Convert to vertex form: f(x) = x^2 + 2x + 1.
f(x) = (x + 1)^2
Solve: x^2 - 5x + 6 = 0.
x = 2, 3
What is the shape of all quadratic functions?
Parabola
Find the vertex for: f(x) = x^2+ 4x +3.
(3, -1)
What is the y-intercept of: f(x) = 2x^2 + 4x + 6?
6
Convert: f(x) = x^2 - 4x + 3.
f(x) = (x-2)^2 - 1
Solve: x^2 + 2x - 8 = 0.
x = -4, 2
What is the minimum or maximum point of a quadratic graph called?
Vertex
Find the vertex for: f(x) = 2x^2 + 8x - 1.
(-2, -9)
What is the direction of opening for: f(x) = 3x^2 + 7x - 2?
Down
Convert: f(x) = 2x^2 + 8x + 5.
f(x) = 2(x + 2)^2 - 3
Solve: 2x^2 + 7x + 3 = 0
x = -3, -1/2
Graph f(x) = x^2 - 4x + 3. What are its intercepts?
x = 1 and 3; y = 3
Find the vertex for: f(x) = -x^2 + 10x - 21
(5, 4)
What are the x-intercepts of: f(x) = x^2 - 5x + 6?
x = 2 and x = 3
Convert: f(x) = -x^2 + 6x - 7.
Solve: 3x^2 - 14x + 8 = 0
x = 4, 2/3
Describe the graph of f(x) = -x^2 + 4?
Opens downward, vertex at (0, 4)
Find the vertex for: f(x) = 3x^2 - 12x + 5.
(2, -7)
What are the domain and range of: f(x) = (x-4)^2 - 1?
y ≥ -1
Convert: f(x) = 3x^2 - 12x + 13.
f(x) = 3(x - 2)^2 + 1
Solve: 5x^2 + 11x - 12 = 0
x = 1/5, -3
Graph f(x) = 2(x - 1)^2 + 3. What are its vertex and direction?
Vertex: (1, 3); opens up