The form of this type of quadratic- y= ax2 + bx + c
What is standard form?
The graph that x2 is referred to when comparing other graphs to it
What is the parent graph?
The ends of an even degree function go in this direction.
What is the same direction?
True of False: The quadratic equation is in standard form. -28 + x2 - 3x
What is false?
This coefficient of a quadratic equation reflects the parabola to open up or down.
What is the A coeffcient?
The ends of a quadratic function with a negative leading coefficient goes in this direction.
What is down?
This is the a, b and c value of the following standard form of an equation y= -2x2 + 4x -6
What is a= -2, b = 4 and c= -6
This coefficient vertically compresses the parabola.
What is the A coefficient?
In the quadratic equation 2x2-8x+5, as x approaches positive infinity, f(x) approaches this direction?
What is positive infinity?
What does the c value in y = ax2 + bx + c represent on the graph of a parabola.
y intercept
This part of the given quadratic equation, -x2 + 8x - 9, equals 4. A) Vertex B) Axis of Symmetry C) y-intercept
What is the axis of symmetry?
This coefficient of a quadratic equation shifts the parabola left or right.
What is the B coefficient?
A quadratic function can have up to this many x-intercepts?
What is 2?
This is the number before the x2 that determines whether a parabola opens up or down.
What is the Leading Coefficient?
Name at least 3 steps that you need to take to graph the quadratic function.
1. Find the axis of symmetry (Find x) 2. Find the value of y 3. Find vertex (x,y) 4. Plot vertex 5. Plot axis of symmetry 6. Use T-chart to plot at least 2 points 7. Use axis of symmetry to plot remaining points
Which ordered pair is the vertex of f(x)=x2+6x+5? A) (-3,-4) B) (-2,-3) C) (-1,0) D) (0,-5)
A) (-3,-4)
The given coefficient vertically stretches the parabola the most.
A) -3 B) 1.5 C) -7
What is C) -7?
Determine the end behavior: Degree=2, Leading coefficient is negative
What is as x approaches negative infinity, f(x) approaches negative infinity and as x approaches positive infinity, f(x) approaches negative infinity
In the function f(x)=x2-8x+15, which of the following is the vertex? A) (4,-1) B) (4,23) C) (-4,23) D) (-4,63)
A) (4,-1)