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CPM Unit 8 Key Quest
CPM Unit 7 Key Quest
| Question | Answer |
|---|---|
| vertex | Highest or lowest point of a parabola |
| y-intercept | where the line crosses the y axis; |
| x-intercept | where the graph crosses the x-axis; also zero or root; y=0 |
| zero | where the function equals zero; also x-intercept or root |
| root | a solution of an equation; also x value of x-intercept or zero |
| axis or line of symmetry | the vertical line through the vertex; x= the x-value of the vertex |
| y=ax²+bx+c | standard form of a quadratic |
| f(x)=a(x-h)² + k where (h,k) is the vertex | vertex form of a quadratic |
| ƒ(x)=a(x-r₁)(x-r₂) where r₁ & r₂ are the roots | root form of a quadratic |
| a≥0 | parabola faces up when |
| a≤0 | parabola faces down when |
| |a| approaches zero | A parabola gets wider as _________________________________ |
| |a| approaches infinity | A parabola gets narrower as ___________________________________ |
| Find the vertex Find two points left and two points right of the vertex Graph the vertex Graph the line (or axis) of symmetry Graph each of the other two symmetric pairs Draw the parabola | How do you graph a parabola from any form? y=a(x-h)²+k |
| x=(r₁+r₂)/2. Find the average of the two roots. | How do you find the line of symmetry from root form? y = a(x-r₁)(x-r₂) |
| ( (r₁+r₂)/2 , f((r₁+r₂)/2) ) Find the average of the two roots to find the x value. Then put that value back into the equation to find the y value. | How do you find the vertex from root form? y = a(x-r₁)(x-r₂) |
| x = -b /2a | How do you find the line of symmetry from standard form? y = ax²+bx+c |
| ( x = -b /2a, f(x = -b /2a) ). Find the x value using the formula, then put it back into the equation to find the y value. | How do you find the vertex from standard form? y = ax²+bx+c |
Created by:
meminot
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