Quadratics

Front

What is the vertex for the parabola represented by the equation
y = 2(x + 3)² - 8?

Back

(-3, -8)

Front

Equation for the given graph: f(x) = (x - 2)² - 1, f(x) = (x + 2)² - 1, f(x) = -(x + 2)² - 1, f(x) = -(x - 2)² - 1

Back

f(x) = (x + 2)² - 1

Front

Identify the vertex and whether the graph opens up or down.

Back

(1, 4); opens down

Front

Equation for a quadratic function that opens downward with vertex (-4, 7):
f(x)= -(x-4)²+7, f(x)= (x+4)²+7, f(x)= -(x+4)²+7, f(x)= (x-4)²+7

Back

f(x)= -(x+4)²+7

Front

How does the graph of g(x)=3x² compare to the quadratic parent function f(x)=x²?

Back

The graph of g(x) is narrower than the graph of f(x).

Front

Identify the correct vertex form, vertex, and y-intercept for f(x)= x²+6x-1. Options: y=(x+3)²-10
Vertex: (-3, -10)
y-intercept: (0, -1), y=(x+3)²+19
Vertex: (-3, 19)
y-intercept: (0, 1), y=(x+3)²+1
Vertex: (-3, -1)
y-intercept: (0, -10), y=(x-3)²+10
Vertex: (3, 10)
y-intercept: (0, -1)

Back

y=(x+3)²-10
Vertex: (-3, -10)
y-intercept: (0, -1)

Front

A rocket was launched from a balcony 10 feet from the ground. The rocket modeled the equation h(t)= -t² + 6t + 10, where t represent time in seconds and h(t) represents the height in feet. What is the maximum height the rocket will reach before it starts to go back down?

Back

19 feet

Front

Given the equation for this parabola:
 y=-(x-4)²-3,
does this parabola have a maximum or minimum value?

Back

Maximum

Front

What is the vertex of this quadratic equation?
y = 2(x + 2)² + 5

Back

(-2,5)

Front

Back

y=(x+4)²+1