1. Quadratic Equations and Functions
Standard Level
1.10 Applications of quadratics using graphs
Interactive practice questions
A parabola of the form $y=ax^2$y=ax2 goes through the point $\left(2,-4\right)$(2,−4).
a
What is the value of $a$a?
b
What are the coordinates of the vertex?
Vertex $=$=$\left(\editable{},\editable{}\right)$(,)
c
Plot the graph of the parabola.
Loading Graph...
Easy
2min
Which of these graphs represents a parabola of the form $y=\left(x-a\right)^2$y=(x−a)2?
Easy
< 1min
A parabola of the form $y=\left(x-h\right)^2+k$y=(x−h)2+k is symmetrical about the line $x=2$x=2, and its vertex lies $3$3 units above the $x$x=axis.
Easy
2min
Find the equation of the quadratic function that has a vertex at $\left(-12,3\right)$(−12,3) and that passes through the point $\left(-4,19\right)$(−4,19).
Express your final answer in the form $y=ax^2+bx+c$y=ax2+bx+c.
Medium
5min
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