Question bank

TMUA-P1-MM8-001

The line $y = 2x + 3$ crosses the $y$-axis at which point?

TMUA-P1-MM8-002

What are the coordinates of the vertex of $y = (x - 2)^2 + 5$?

TMUA-P1-MM8-003

The curve $y = (x - 1)(x - 5)$ meets the $x$-axis at which values of $x$?

TMUA-P1-MM8-004

How is the graph of $y = f(x) + 2$ obtained from the graph of $y = f(x)$?

TMUA-P1-MM8-005

Let $f(x) = 2x + 1$ and $g(x) = x^2$. What is the value of $f(g(3))$?

TMUA-P1-MM8-006

A cubic $y = ax^3 + \dots$ with $a > 0$ has three distinct real roots. Which best describes its graph?

TMUA-P1-MM8-007

The quadratic $y = a(x + b)^2 + c$ (with $a > 0$) has its minimum value $-4$ at $x = -3$. What are $b$ and $c$?

TMUA-P1-MM8-008

How many points of intersection do the line $y = 2x - 1$ and the curve $y = x^2 - 4x + 5$ have?

TMUA-P1-MM8-009

Which statement correctly describes the stationary points of $y = x^3 - 3x^2$?

TMUA-P1-MM8-010

Which of the following statements about the curve $y = 2^x - 3$ is FALSE?

TMUA-P1-MM8-012

What is the vertex of the graph $y = x^2 + 3$?

TMUA-P1-MM8-013

Where does $y = (x-1)(x-5)$ cross the $x$-axis?

TMUA-P1-MM8-014

Where does the line $y = 2x + 1$ cross the $y$-axis?

TMUA-P1-MM8-015

How is the graph of $y = f(x) + 2$ obtained from $y = f(x)$?

TMUA-P1-MM8-016

How is the graph of $y = -f(x)$ obtained from $y = f(x)$?

TMUA-P1-MM8-017

How is the graph of $y = f(x-3)$ obtained from $y = f(x)$?

TMUA-P1-MM8-018

What is the vertical asymptote of $y = \frac{1}{x-2}$?

TMUA-P1-MM8-019

What is the vertex of $y = x^2 - 6x + 8$?

TMUA-P1-MM8-020

Where does $y = |x| - 2$ meet the $x$-axis?

TMUA-P1-MM8-021

How many $x$-intercepts does $y = x^2 + 2x + 5$ have?

TMUA-P1-MM8-022

The cubic $y = (x-1)^2(x+2)$ touches the $x$-axis at one point. Where?

TMUA-P1-MM8-023

How is the graph of $y = f(2x)$ obtained from $y = f(x)$?

TMUA-P1-MM8-024

How many real solutions does $|x^2 - 4| = 3$ have?

TMUA-P1-MM8-025

What is the horizontal asymptote of $y = \frac{x+1}{x-1}$?