Vocabulary
The solutions to the equation p(x) = 0, where p(x) represents the polynomial.
what is zeros
what are the zeros of the equation, f(x)=x^2-12+35
what is x=7,5
what is the vertex of the equation f(x)=x^2-49
what is (0,-49)
what equation matches this graph?
graph 1 (see document for picture)
f(x)= 3x^2+24-45
y = ax2 +bx + c
Standard form of a quadratic function
where the function has a maximum value or a minimum value.
what is vertex
what are the zeros of the equations, f(x)=4x^2-12x-72
what is x=6,-3
what is the vertex of the equation f(x)=5x^2-20-105
what is (2,-125)
what equation matches this graph?
graph 2 (see document for picture)
f(x)=2x^2+10x-12
y = a(x – p)(x – q); where p and q are the x-intercepts.
The intercept form of a quadratic function
The x-values where the parabola intersects the x-axis
what is x-intercepts
what are the zeros of the equation f(x)=5x^2+45
what is x=3,-3
what is the vertex of the equation f(x)=3x^2-8x-16
what is (4/3,-21.3)
what equation matches this graph?
graph 3 (see document for picture)
f(x)=(x+6)^2-9
y = a(x – h) + k; where (h, k) is the vertex of the parabola.
Vertex form of a quadratic function
The y-value where the parabola intersects the y-axis.
what is y-intercepts
f(x)=4x^2-28x+40
what is x=5,2
what is the vertex of the equation f(x)=x^2-8x-48
what is (4,-64)
what equation matches this graph?
graph 4 (see document for picture)
f(x)=3x^2-7x-6
The vertical line that passes through the vertex and divides the parabola into two mirror images.
what is axis of symmetry