Determine the effects on the graph of the parent function f(x) = x2 when f(x) is replaced by af(x), f(x) + d, f(x - c), f(bx) for specific values of a, b, c, and d Video Lesson

About This Video

Curriculum-aligned Grade 9 Mathematics lesson video for Determine the effects on the graph of the parent function f(x) = x2 when f(x) is replaced by af(x), f(x) + d, f(x - c), f(bx) for specific values of a, b, c, and d. Use it for classroom preview, instruction support, or home review.

This watch page is dedicated to the video. For the complete text lesson plan, activities, standards alignment, and answer guides, use the companion lesson page: Determine the effects on the graph of the parent function f(x) = x2 when f(x) is replaced by af(x), f(x) + d, f(x - c), f(bx) for specific values of a, b, c, and d lesson plan.

Video Learning Notes

This lesson focused on understanding how the graph of the quadratic parent function f(x) = x2 changes when transformed by multiplying the function by a constant, adding a constant, shifting horizontally, or stretching/compressing horizontally. Students learned to identify and describe the effects of parameters a, b, c, and d on the graph's shape, position, and orientation, and practiced graphing these transformations both by hand and using technology.

Learning Goals

• Identify and describe how multiplying the parent function f(x) = x2 by a constant 'a' affects the graph's shape and orientation.
• Explain how adding a constant 'd' to f(x) shifts the graph vertically.
• Determine how replacing x by (x - c) shifts the graph horizontally.
• Analyze the effect of multiplying the input x by a constant 'b' on the graph's width and direction.
• Use graphs to represent and explain these transformations with and without technology.

Curriculum Context

Grade: Grade 9

Subject: Mathematics

Curriculum: TEKS