Quick Answer: What Is The Equation For A Translation?

What are the 4 types of transformations?

There are four main types of transformations: translation, rotation, reflection and dilation.

These transformations fall into two categories: rigid transformations that do not change the shape or size of the preimage and non-rigid transformations that change the size but not the shape of the preimage..

How do you convert an equation to a quadratic equation?

Transform the equation in standard form ax^2 + bx + c = 0 (1) into a new equation, with a = 1, and the constant C = a*c. The new equation has the form: x^2 + bx + a*c = 0, (2). Solve the transformed equation (2) by the Diagonal Sum Method that can immediately obtain the 2 real roots.

How do you translate a circle on a graph?

follow these steps:Realize that the circle is centered at the origin (no h and v) and place this point there.Calculate the radius by solving for r. Set r-squared = 16. … Plot the radius points on the coordinate plane. … Connect the dots to graph the circle using a smooth, round curve.

How do you convert an equation into standard form?

To convert from slope intercept form y = mx + b to standard form Ax + By + C = 0, let m = A/B, collect all terms on the left side of the equation and multiply by the denominator B to get rid of the fraction.

What are the three steps for solving a quadratic equation?

Combine all of the like terms and move them to one side of the equation.Write down the quadratic formula.Identify the values of a, b, and c in the quadratic equation.Substitute the values of a, b, and c into the equation.Simplify the square root.Solve for the positive and negative answers.simplify.

What are the steps to solving a quadratic equation?

Steps for solving Quadratic application problems:Draw and label a picture if necessary.Define all of the variables.Determine if there is a special formula needed. … Write the equation in standard form.Factor.Set each factor equal to 0. … Check your answers.More items…•

How do you find the transformation of an equation?

The function translation / transformation rules:f (x) + b shifts the function b units upward.f (x) – b shifts the function b units downward.f (x + b) shifts the function b units to the left.f (x – b) shifts the function b units to the right.–f (x) reflects the function in the x-axis (that is, upside-down).More items…

How do you translate equations to the left?

SummaryTo horizontally translate a function, substitute ‘x-h’ for ‘x’ in the function.The value for ‘h’ controls how much the graph shifts to the left or right.In our example, since h = -4, the graph shifts 4 units to the left.To vertically translate a function, add ‘k’ onto the end.More items…