Topic 17 Review

Front

What is the vertex of the parabola given by the equation y = 3(x + 5)² - 4?

Back

(-5, -4)

Front

What is the equation of the quadratic function obtained from vertically stretching the parent function by a factor of 2 and then vertically shifting up 3 units?

Back

f(x)= 2x² + 3

Front

If the red graph is y=x², what is the equation of the blue graph that is shifted left by 2 units?

Back

y=(x+2)²

Front

What point does the axis of symmetry of a parabola pass through?

Back

vertex

Front

What is the horizontal shift of the equation y = -(x + 3)² - 5?

Back

left 3

Front

Define the vertex of a parabola.

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation.

Front

What does it mean to vertically stretch a function?

Back

To vertically stretch a function means to multiply the output values by a factor greater than 1.

Front

What is the standard form of a quadratic function?

Back

The standard form is f(x) = ax² + bx + c.

Front

How do you determine the axis of symmetry for a parabola in standard form?

Back

The axis of symmetry can be found using the formula x = -b/(2a).

Front

What effect does a negative sign in front of a quadratic function have on its graph?

Back

It reflects the graph across the x-axis.