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Exercises for Question Type 1: Computing the vertex and the y-intercept for quadratics - IB | RevisionDojo

IB
Question Type 1: Computing the vertex and the y-intercept for quadratics

Question Type 1: Computing the vertex and the y-intercept for quadratics Exercises

Question 1

Find the vertex and the y-intercept of the quadratic function $f(x) = 2\bigl(x+\tfrac{1}{2}\bigr)^2 - \tfrac{3}{4}$ .

[4]

Question 2

Find the vertex and the y-intercept of the quadratic function $f(x) = -3x^2 - 6x + 9$ .

[6]

Question 3

Find the vertex and the y-intercept of the quadratic function $f(x) = -\frac{1}{2}x^2 + 2x - 1$ .

[6]

Question 4

Find the vertex and the $y$ -intercept of the quadratic function $f(x) = 6x^2 + x - 4$ .

[6]

Question 5

Find the vertex and the y-intercept of the quadratic function $f(x) = 0.5x^2 - 2x + 1$ .

[6]

Question 6

Find the vertex and the y-intercept of the quadratic function $f(x) = 5x^2 + 6x + 4$ .

[5]

Question 7

Find the vertex and the $y$ -intercept of the quadratic function $f(x) = \frac{1}{3}x^2 + \frac{4}{3}x - \frac{2}{3}$ .

[5]

Question 8

Find the vertex and the y-intercept of the quadratic function $f(x) = 2x^2 + 3x + 1$ .

[5]

Question 9

Find the vertex and the $y$ -intercept of the quadratic function $f(x) = 3(x-2)^2 + 1$ .

[4]

Question 10

Find the vertex and the y-intercept of the quadratic function $f(x) = 4x^2 - 8x + 3$ .

[5]

Question 11

Find the coordinates of the vertex and the $y$ -intercept of the quadratic function $f(x) = -2x^2 + x + 5$ .

[6]

Question 12

Find the vertex and the $y$ -intercept of the quadratic function $f(x) = x^2 - 4x + 7$ .

[5]

Question 13

Find the vertex and the $y$ -intercept of the quadratic function $f(x) = -x^2 + 4x - 2$ .

[5]