1 of 8 0-day streak

Connect factors with parabola features

Question 1 of 8

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The reference graph is \(y=x^2\)

The given quadratic is \(y = -2(x+6)(x+2)\)

The output is denoted by g(x). Use exact values for every response

(a)1 mark

Which statement describes the change from the graph of y=x² to the given graph?

Apply a vertical stretch by factor \(2\)

Translate the graph \(4\) units to the left

Translate the graph \(8\) units up

Reflect the graph in the x-axis

Apply a vertical stretch by factor \(2\)

Translate the graph \(4\) units to the right

Translate the graph \(8\) units up

Reflect the graph in the x-axis

Apply a vertical stretch by factor \(2\)

Translate the graph \(4\) units to the left

Translate the graph \(8\) units up

Reflect the graph in the x-axis

Apply a vertical compression by factor \(\frac{1}{2}\)

Translate the graph \(4\) units to the left

Translate the graph \(8\) units up

(b)3 marks

Enter the vertex coordinates and the number in the symmetry equation x = ___

\(x_V\) \(y_V\) Axis x-value

Does the graph open upward or downward?

The graph opens upward

The graph opens downward

(d)2 marks

Enter the exact x-coordinates of both x-intercepts in increasing order

\(x_1\) \(x_2\)