SOLUTION: 1. Y=2x^2-5 2. Y=-3(x+1)^2+2. 3. y=1/2(x-2)^2-4 For each of these three separate quadratic equation find the
Sketch:
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Question 1194988: 1. Y=2x^2-5 2. Y=-3(x+1)^2+2. 3. y=1/2(x-2)^2-4 For each of these three separate quadratic equation find the
Sketch:
Domain:
Range
Direction of opening:
Vertex:
X-intercept;
Y-intercept:
Axis of symmetry:
Expansion/compression:
Congruent to:
MIN/MAX value:
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
1.
Sketch:
Domain: (all real numbers)
Range:{ element : }
Direction of opening: opening
Vertex: (, )
X-intercept:
set
or
so, X-intercept are at (, ) and (, )
Y-intercept: set =>
and Y-intercept is at (,)
Axis of symmetry:
Expansion/compression: a stretch by a factor of in y-direction
Congruent to:
MIN/MAX value: minimum at (,)
2.
Sketch:
Domain: (all real numbers)
Range: { element : }
Direction of opening: opening down
Vertex: (,)
X-intercept; at and
=>(,) and (,)
Y-intercept: ,
=>(,)
Axis of symmetry:
Expansion/compression: stretched by a factor of in y-direction
Congruent to:
MIN/MAX value: max at (,)
3.
Sketch:
Domain: (all real numbers)
Range:{ element : }
Direction of opening:
Vertex: (,)
X-intercept; ( ,) and (, )
Y-intercept: (,)
Axis of symmetry:
Expansion/compression: compressed by factor in y-direction
Congruent to:
MIN/MAX value: minimum at (,)
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