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28 Cards in this Set
- Front
- Back
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What is quadratic equation in standard form? |
y=ax²+bx+c |
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What do the first differences of quadratic equation look like? |
They are all different |
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What do the second differences of quadratic equation look like? |
They are all the same |
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When a<0, b=0 and c=0, what does the y value look like? |
All y values are positive |
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When a>0, b=0 and c=0, what does the y value look like? |
All the y values are negative |
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What does the a value control? |
Stretches (parabola being thinner , a<0) Compressions (parabola being thicker 0<a<1) |
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What is a conjecture? |
Conclusion formed on the basis of incomplete information |
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What does the c value change? |
Shifts the graph upwards or downwards |
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If c is ____ then the y coordinate _____________ |
If c is + then y moves upwards If c is - then y moves downwards |
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What does the b value change? |
The b value translates the parabola left or right |
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If b is ____ then the parabola _____________ |
If b is + the parabola shifts to the left If b is - the parabola shifts to the right |
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What are other names for the x-intercept? |
zeros, roots, x-intercepts there are two |
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What is the vertex? |
The curving point of a parabola |
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What are the coordinates of a vertex labelled? |
(x,y) or (h,k) |
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What is optimal value? |
(k) Maximum or minimum value depending on the opening |
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What is the y-intercept? |
Point where the parabola passes through the y-intercept |
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What is the axis of symmetry? |
Line dividing the parabola into two equal halves |
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How do parabolas open? |
Up or Down |
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What is the parent equation of quadratic equation? |
y=x² |
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When using a table, how do you know which point is the vertex? |
The y variable is different (has no other variable equal to it) |
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How do you find the axis of symmetry? |
Plug roots into Midpoint formula Example: Roots are 1 and 5 x=1+5/2=6/2=3 Therefore axis of symmetry is x=3 |
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What is the equation to solve for the y-intercept |
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What variable is the y intercept? |
C |
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What is the equation for the factored form of a quadratic equation? |
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How do you find the minimum or maximum? |
Plug the axis of symmetry into the original equation and solve for y |
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What is the y in the vertex? |
Minimum or maximum |
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What is the x in the vertex? |
Axis of symmetry |
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How do you find the vertex? |
Take the axis of symmetry and the minimum/maximum |
