### Concept (1)

When graphing radical equations using shifts, adding or subtracting a constant that is not in the radical will shift the graph up (adding) or down (subtracting). Adding or subtracting a constant that is in the radical will shift the graph left (adding) or right (subtracting). Multiplying a negative constant by the equation will reflect the graph over the x-axis. Multiplying by a number larger than one increases the y-values.

### Sample Problems (14)

Need help with "Solving Quadratic Equations Using Square Roots" problems? Watch expert teachers solve similar problems to develop your skills.

Solve:

x² − 225 = 0
###### Problem 1
How to solve binomial quadratic equations using square roots.

Solve:

100x² − 81 = 0
###### Problem 2
How to solve binomial quadratic equations by using square roots when the answer is a decimal approximation.

Solve:

x² + 36 = 0
###### Problem 3
How to recognize quadratic equations that have no solution.
###### Problem 4
How to solve a binomial quadratic equation by square rooting both sides
###### Problem 5
How to solve binomial quadratic equations by square rooting both sides of the equation
###### Problem 6
Finding the x-intercepts of a parabola by solving by taking square roots
###### Problem 7
Basic example of completing the square to solve a quadratic equation by taking square roots
###### Problem 8
Solving quadratic equations with no linear term by taking square roots
###### Problem 9
Solving a quadratic equation with fractions by taking square roots
###### Problem 10
Solving word problems involving parabolas without an initial velocity by taking square roots
###### Problem 11
Solving quadratic equations with imaginary roots by taking square roots
###### Problem 12
Solving a quadratic equation with a squared binomial by taking square roots
###### Problem 13
Solving a quadratic equation with a binomial squared by taking square roots
###### Problem 14
Solving quadratic equations with x^2 and a constant by taking square roots