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How to reflect a graph through the x-axis

Grade 12 Math: Master Advanced Concepts & Skills

Geometric constructions

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Classifying triangles

Isosceles and equilateral triangles

Conics - Parabola

Conics - Circle

Conics - Ellipse

Conics - Hyperbola

Parallel and perpendicular lines

Pairs of lines and angles

Parallel lines and transversals

Parallel line proofs

Perpendicular line proofs

Circle geometry

Angles in a circle

Circles and circumference

Circle properties

Arcs of a circle

Areas and sectors of circles

Transformations of 2D shapes

Line symmetry

Rotational symmetry and transformations

Enlargements and reductions with scale factors

Scale diagrams

Similar triangles

Similar polygons

Non-Euclidean geometries

Combining transformations of functions

Surface area of 3-dimensional shapes

Transformations of functions: Horizontal translations

Transformations of functions: Vertical translations

Reflection across the y-axis: y = f(-x)

Reflection across the x-axis: y = -f(x)

We&apos;ve got you covered with our complete help for Grade 12 math, whether it&apos;s Ontario curriculum, <a href="https://www.alberta.ca/writing-diploma-exams.aspx">Diploma exam</a> (Alberta), <a href="http://www.edu.gov.mb.ca/k12/assess/tests/index.html">Provincial test</a> (Manitoba) or <a href="https://www.saskatchewan.ca/residents/education-and-learning/departmental-exams">Departmental exam</a> (Saskatchewan).

Aligned with your class or textbook, you will get grade 12 math help on topics like Trigonometric identities, Vectors, Permutations and Combinations, Matrices, Polynomial functions and so many more. Learn the concepts with our video tutorials that show you step-by-step solutions to even the hardest grade 12 math questions. Then, strengthen your understanding with tons of grade 12 math practice. 

All our lessons are taught by experienced Grade 12 math teachers. Let&apos;s finish your homework in no time, and ACE that final.

Geometry 12

math

https://dmn92m25mtw4z.cloudfront.net/img/textbook/textbook-grade12math.png

Intro

Ex. 1

The concept behind the reflections about the x-axis is basically the same as the reflections about the y-axis. The only difference is that, rather than the y-axis, the points are reflected from above the x-axis to below the x-axis, and vice versa.

Reflection across the x-axis: y = -f(x)