AS Mathematics HomeWork-Learning Page

Teacher:	Prof. JM	Section:	AS Mathematics Grade 11
Date:	Week	Grade	Grade 11

Learning Objectives	Understand how to find the x-intercepts, y-intercept, axis of symmetry, and vertex of a quadratic function. Develop the skills to graph a quadratic function using its key features such as the axis of symmetry and vertex. Apply algebraic techniques to solve problems involving the properties of quadratic functions, including finding the vertex form and standard form.
	Instruction : Show Detailed Working

Resources:Click Here
Student Materials: Name:.......................Grade.................... Find Vertex, x-intercept, y-intercept, axis of symmetry Worksheet: Quadratic Functions Question 1: Find the x-intercepts, y-intercept, axis of symmetry, and vertex of the quadratic function: \[ f(x) = x^2 - 6x + 8 \] Question 2: Find the x-intercepts, y-intercept, axis of symmetry, and vertex of the quadratic function: \[ f(x) = 2x^2 - 4x - 6 \] Question 3: Find the x-intercepts, y-intercept, axis of symmetry, and vertex of the quadratic function: \[ f(x) = -x^2 + 4x + 5 \] Question 4: Find the x-intercepts, y-intercept, axis of symmetry, and vertex of the quadratic function: \[ f(x) = x^2 + 2x - 3 \] Question 5: Find the x-intercepts, y-intercept, axis of symmetry, and vertex of the quadratic function: \[ f(x) = 3x^2 - 12x + 7 \] Question 6: Find the x-intercepts, y-intercept, axis of symmetry, and vertex of the quadratic function: \[ f(x) = -x^2 + 6x - 8 \] Question 7: Find the x-intercepts, y-intercept, axis of symmetry, and vertex of the quadratic function: \[ f(x) = 4x^2 - 8x + 3 \] Question 8: Find the x-intercepts, y-intercept, axis of symmetry, and vertex of the quadratic function: \[ f(x) = x^2 - 4x + 4 \] Question 9: Find the x-intercepts, y-intercept, axis of symmetry, and vertex of the quadratic function: \[ f(x) = 2x^2 + 6x - 4 \] Question 10: Find the x-intercepts, y-intercept, axis of symmetry, and vertex of the quadratic function: \[ f(x) = -x^2 + 3x + 2 \] Answer Key: Answer 1: x-intercepts: (2, 0) and (4, 0), y-intercept: (0, 8), axis of symmetry: x = 3, vertex: (3, -1) Answer 2: x-intercepts: (-1, 0) and (3, 0), y-intercept: (0, -6), axis of symmetry: x = 1, vertex: (1, -8) Answer 3: x-intercepts: (1, 0) and (5, 0), y-intercept: (0, 5), axis of symmetry: x = 2, vertex: (2, 9) Answer 4: x-intercepts: (-3, 0) and (1, 0), y-intercept: (0, -3), axis of symmetry: x = -1, vertex: (-1, -4) Answer 5: x-intercepts: (1, 0) and (3, 0), y-intercept: (0, 7), axis of symmetry: x = 2, vertex: (2, -5) Answer 6: x-intercepts: (2, 0) and (4, 0), y-intercept: (0, -8), axis of symmetry: x = 3, vertex: (3, -17) Answer 7: x-intercepts: (-0.5, 0) and (1.5, 0), y-intercept: (0, 3), axis of symmetry: x = 1, vertex: (1, -1) Answer 8: x-intercepts: (2, 0), y-intercept: (0, 4), axis of symmetry: x = 2, vertex: (2, 0) Answer 9: x-intercepts: (-2, 0) and (1, 0), y-intercept: (0, -4), axis of symmetry: x = -1/2, vertex: (-1/2, -5/2) Answer 10: x-intercepts: (1, 0) and (3, 0), y-intercept: (0, 2), axis of symmetry: x = 3/2, vertex: (3/2, 7/4)	Student Materials: Show detailed steps here
Next HomeWork: Click Here

Question 1: Find the x-intercepts, y-intercept, axis of symmetry, and vertex of the quadratic function: \[ f(x) = x^2 - 6x + 8 \]

Question 2: Find the x-intercepts, y-intercept, axis of symmetry, and vertex of the quadratic function: \[ f(x) = 2x^2 - 4x - 6 \]

Question 3: Find the x-intercepts, y-intercept, axis of symmetry, and vertex of the quadratic function: \[ f(x) = -x^2 + 4x + 5 \]

Question 4: Find the x-intercepts, y-intercept, axis of symmetry, and vertex of the quadratic function: \[ f(x) = x^2 + 2x - 3 \]

Question 5: Find the x-intercepts, y-intercept, axis of symmetry, and vertex of the quadratic function: \[ f(x) = 3x^2 - 12x + 7 \]

Question 6: Find the x-intercepts, y-intercept, axis of symmetry, and vertex of the quadratic function: \[ f(x) = -x^2 + 6x - 8 \]

Question 7: Find the x-intercepts, y-intercept, axis of symmetry, and vertex of the quadratic function: \[ f(x) = 4x^2 - 8x + 3 \]

Question 8: Find the x-intercepts, y-intercept, axis of symmetry, and vertex of the quadratic function: \[ f(x) = x^2 - 4x + 4 \]

Question 9: Find the x-intercepts, y-intercept, axis of symmetry, and vertex of the quadratic function: \[ f(x) = 2x^2 + 6x - 4 \]

Question 10: Find the x-intercepts, y-intercept, axis of symmetry, and vertex of the quadratic function: \[ f(x) = -x^2 + 3x + 2 \]

Answer Key:

Answer 1: x-intercepts: (2, 0) and (4, 0), y-intercept: (0, 8), axis of symmetry: x = 3, vertex: (3, -1)
Answer 2: x-intercepts: (-1, 0) and (3, 0), y-intercept: (0, -6), axis of symmetry: x = 1, vertex: (1, -8)
Answer 3: x-intercepts: (1, 0) and (5, 0), y-intercept: (0, 5), axis of symmetry: x = 2, vertex: (2, 9)
Answer 4: x-intercepts: (-3, 0) and (1, 0), y-intercept: (0, -3), axis of symmetry: x = -1, vertex: (-1, -4)
Answer 5: x-intercepts: (1, 0) and (3, 0), y-intercept: (0, 7), axis of symmetry: x = 2, vertex: (2, -5)
Answer 6: x-intercepts: (2, 0) and (4, 0), y-intercept: (0, -8), axis of symmetry: x = 3, vertex: (3, -17)
Answer 7: x-intercepts: (-0.5, 0) and (1.5, 0), y-intercept: (0, 3), axis of symmetry: x = 1, vertex: (1, -1)
Answer 8: x-intercepts: (2, 0), y-intercept: (0, 4), axis of symmetry: x = 2, vertex: (2, 0)
Answer 9: x-intercepts: (-2, 0) and (1, 0), y-intercept: (0, -4), axis of symmetry: x = -1/2, vertex: (-1/2, -5/2)
Answer 10: x-intercepts: (1, 0) and (3, 0), y-intercept: (0, 2), axis of symmetry: x = 3/2, vertex: (3/2, 7/4)

AS PureMathematics - Homework

HomeWorkBack to HomeWork Page

Axis of symmetry

Name:.......................Grade....................

Find Vertex, x-intercept, y-intercept, axis of symmetry

Worksheet: Quadratic Functions

Answer Key:

Show detailed steps here