hyperbolas, parabolas, circles, lines, etc.
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| y= 3x-9. What is the slope? (rise/run) | up 3, over 1
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| midpoint formula | x,y = (x1+ x2/2, y1 + y1/2)
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| distance formula | d= square root of (x2-x1)^2 +(y2-y1)^2
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| definition of a circle | a set of all points on a plane that are an equal distance from some fixed point
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| center-radius form of a circle | (x-h)^2 + (y-k)^2 = r^2
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| (x+3)^2 +(y-1)^2=1. What is the radius, and center? | Center: (-3, 1), radius: 1
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| x^2 + (y+5)^2 =0. What is the graph? | Center = (0,-5), radius = 0
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| Standard form of a line | Ax +By = C
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| is 4x^2 + 3y =12 a line? | No, because there is a square in the form
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| Both positive and negative slopes of a line go which direction? | left to right
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| Slope = 0 | Horizontal straight line ------
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| Slope is undefined | vertical straight line I
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| rise/run = | y2-y1/x2-x1
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| point slope formula | y2- y1 = m(x2-x1)
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| parallel lines | the slope of both of the lines is the same
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| perpendicular | the slope of the lines are reciprocal (-1/m2)
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| I’m looking for the equation of a line, I need… | A point and a slope.
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| Exceptions to lines with slopes | Y=b, x=a
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| What makes a set not a function | More than 1 number as an x value (input)
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| Open circle indicates… | Parentheses and does not include end points
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| Closed circle indicates | Brackets and does include end points
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| 1-1 function | F and f-1 are functions
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| Process for inverse equations | 1. Replace f(x) with y. 2. Swap x and y. 3. Solve for y. 4. Replace y with f-1
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| function notation | y=f(x)
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| a) (1,3), (2,3), 4,5) b) (1,2), (3,4), (2,1). Which is a 1-1 function? | b) (1,2), (3,4), (2,1).
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| (x-h) goes which direction? | right
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| (x+h) goes which direction? | left
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| (y-k) goes which direction? | upward
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| (y+k) goes which direction? | downward
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| when reflecting across y-axis, (x,y) becomes.... | (-x,y)
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| when reflecting across x-axis, (x,y) becomes.... | (x, -y)
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| y= I x I is symmetric about which axis | y axis
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| y^2 = 2x is symmetric about which axis? | x axis
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| x -> kx, where I K I <1 means... | a horizontal stretch
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| x -> kx, where I K I >1 means... | a horizontal shrink
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| y -> ky, where I K I >1 means... | shrink vertically
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| y -> ky, where I K I <1 means... | stretch vertically
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| i= | radical -1
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| i ^2 = | -1
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| i^3 = | -i
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| i^4= | 1
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| i^5= | i
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| equation of a parabola | x^2= 4ay or 4a(y-k) = (x-h)^2
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| parabola: a >0 (two answers) | opens up or to the right
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| parabola: a <0 (two answers) | opens down or to the left
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| finding foci for an ellipse | (+/- c, 0)
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| finding intercepts for ellipse | x^2/a^2 and y^2/b^2
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| equation for an ellipse | (x-h)^2/a^2 + (y-k)^2 /b^2 =1
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| equation for a hyperbola | (x-h)^2/a^2 - (y-k)^2 /b^2 =1
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Or sort by any of the columns using the down arrow next to any column heading.
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Created by:
Lyd543
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