Vertical Shifts of Quadratic Functions
Key Questions
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In order to find the y-intercept
#b# of any function#f(x)# is#f(0)# .So, the y-intercept of
#f(x)=ax^2+bx+c# is#f(0)=a(0)^2+b(0)+c=c# .The constant term c of a quadratic function is always its y-intercept.
I hope that this was helpful.
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I would start with its vertex, then move either to the right or to the left, then use a symmetry to draw the other half.
I hope that this was helpful.
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Answer:
Vertical shifts are indicated by a constant added to the base function
#x^2# , this changes the y-coordinate of the vertex.Explanation:
#f(x)=x^2+2# moves the function (vertex) up 2 units
#f(x)=x^2-3# moves the function (vertex) down 3 units
Questions
Quadratic Equations and Functions
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Quadratic Functions and Their Graphs
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Vertical Shifts of Quadratic Functions
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Use Graphs to Solve Quadratic Equations
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Use Square Roots to Solve Quadratic Equations
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Completing the Square
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Vertex Form of a Quadratic Equation
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Quadratic Formula
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Comparing Methods for Solving Quadratics
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Solutions Using the Discriminant
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Linear, Exponential, and Quadratic Models
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Applications of Function Models